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Ratio Tape Diagrams: Given the Difference — Easy Worksheet 1
Grade 6 · Whoobee Name: ____________________ Date: __________
Use the tape diagram. Find the value of one box first, then answer the question.
How to solve
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Example
On a bookshelf, the ratio of comic books to novels is 3 : 5. There are 4 more novels than comic books. What is the value of each box?
Not quite. The answer is
💡 The 6 extra muffins fill the 2 extra boxes. 6 ÷ 2 = 3, so each box is 3.
✓ Correct!
Not quite. The answer is
💡 The 6 extra muffins fill the 2 extra boxes. 6 ÷ 2 = 3, so each box is 3.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
At the kennel, the ratio of cats to dogs is 5 : 3. There are 8 more cats than dogs. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 4 extra dogs fill the 1 extra box. 4 ÷ 1 = 4, so each box is 4. The cats have 3 boxes: 3 × 4 = 12.
✓ Correct!
Not quite. The answer is
💡 The 4 extra dogs fill the 1 extra box. 4 ÷ 1 = 4, so each box is 4. The cats have 3 boxes: 3 × 4 = 12.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a fruit basket, the ratio of apples to oranges is 3 : 5. There are 4 more oranges than apples. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 8 extra red marbles fill the 2 extra boxes. 8 ÷ 2 = 4, so each box is 4. The blue marbles have 1 box: 1 × 4 = 4.
✓ Correct!
Not quite. The answer is
💡 The 8 extra red marbles fill the 2 extra boxes. 8 ÷ 2 = 4, so each box is 4. The blue marbles have 1 box: 1 × 4 = 4.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
At the kennel, the ratio of cats to dogs is 5 : 2. There are 6 more cats than dogs. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 4 extra cookies fill the 2 extra boxes. 4 ÷ 2 = 2, so each box is 2.
✓ Correct!
Not quite. The answer is
💡 The 4 extra cookies fill the 2 extra boxes. 4 ÷ 2 = 2, so each box is 2.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
At a soccer game, the ratio of home fans to away fans is 5 : 3. There are 10 more home fans than away fans. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 8 extra oranges fill the 4 extra boxes. 8 ÷ 4 = 2, so each box is 2. The apples have 1 box: 1 × 2 = 2.
✓ Correct!
Not quite. The answer is
💡 The 8 extra oranges fill the 4 extra boxes. 8 ÷ 4 = 2, so each box is 2. The apples have 1 box: 1 × 2 = 2.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a parking lot, the ratio of cars to trucks is 1 : 5. There are 12 more trucks than cars. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 5 extra home fans fill the 1 extra box. 5 ÷ 1 = 5, so each box is 5. The away fans have 3 boxes: 3 × 5 = 15.
✓ Correct!
Not quite. The answer is
💡 The 5 extra home fans fill the 1 extra box. 5 ÷ 1 = 5, so each box is 5. The away fans have 3 boxes: 3 × 5 = 15.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a bag, the ratio of red marbles to blue marbles is 1 : 4. There are 12 more blue marbles than red marbles. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 6 extra oranges fill the 2 extra boxes. 6 ÷ 2 = 3, so each box is 3. There are 8 boxes in all: 8 × 3 = 24.
✓ Correct!
Not quite. The answer is
💡 The 6 extra oranges fill the 2 extra boxes. 6 ÷ 2 = 3, so each box is 3. There are 8 boxes in all: 8 × 3 = 24.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a garden, the ratio of tulips to roses is 5 : 1. There are 20 more tulips than roses. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 3 extra roses fill the 1 extra box. 3 ÷ 1 = 3, so each box is 3. The tulips have 2 boxes: 2 × 3 = 6.
✓ Correct!
Not quite. The answer is
💡 The 3 extra roses fill the 1 extra box. 3 ÷ 1 = 3, so each box is 3. The tulips have 2 boxes: 2 × 3 = 6.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a garden, the ratio of tulips to roses is 4 : 1. There are 6 more tulips than roses. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Ratio Tape Diagrams: Given the Difference — Easy Worksheet 1
Use the tape diagram. Find the value of one box first, then answer the question.