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Ratio Tape Diagrams: Given the Total — 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
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Example
In a bag, the ratio of red marbles to blue marbles is 5 : 4. There are 45 marbles in all. What is the value of each box?
Not quite. The answer is
💡 There are 1 + 2 = 3 boxes in all, and together they make 15. 15 ÷ 3 = 5, so each box is 5.
✓ Correct!
Not quite. The answer is
💡 There are 1 + 2 = 3 boxes in all, and together they make 15. 15 ÷ 3 = 5, so each box is 5.
💡 How to solve: Ratio Tape Diagrams: Given the Total
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Try a similar one
In a parking lot, the ratio of cars to trucks is 3 : 4. There are 14 vehicles in all. 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
💡 There are 1 + 2 = 3 boxes in all, and together they make 12. 12 ÷ 3 = 4, so each box is 4. The comic books have 1 box: 1 × 4 = 4.
✓ Correct!
Not quite. The answer is
💡 There are 1 + 2 = 3 boxes in all, and together they make 12. 12 ÷ 3 = 4, so each box is 4. The comic books have 1 box: 1 × 4 = 4.
💡 How to solve: Ratio Tape Diagrams: Given the Total
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Try a similar one
In a parking lot, the ratio of cars to trucks is 3 : 1. There are 8 vehicles in all. 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
💡 There are 5 + 1 = 6 boxes in all, and together they make 12. 12 ÷ 6 = 2, so each box is 2. The blue marbles have 1 box: 1 × 2 = 2.
✓ Correct!
Not quite. The answer is
💡 There are 5 + 1 = 6 boxes in all, and together they make 12. 12 ÷ 6 = 2, so each box is 2. The blue marbles have 1 box: 1 × 2 = 2.
💡 How to solve: Ratio Tape Diagrams: Given the Total
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Try a similar one
In a bag, the ratio of red marbles to blue marbles is 1 : 4. There are 15 marbles in all. 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
💡 There are 3 + 1 = 4 boxes in all, and together they make 12. 12 ÷ 4 = 3, so each box is 3.
✓ Correct!
Not quite. The answer is
💡 There are 3 + 1 = 4 boxes in all, and together they make 12. 12 ÷ 4 = 3, so each box is 3.
💡 How to solve: Ratio Tape Diagrams: Given the Total
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Try a similar one
In a garden, the ratio of tulips to roses is 4 : 3. There are 21 flowers in all. 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
💡 There are 1 + 3 = 4 boxes in all, and together they make 16. 16 ÷ 4 = 4, so each box is 4. The muffins have 1 box: 1 × 4 = 4.
✓ Correct!
Not quite. The answer is
💡 There are 1 + 3 = 4 boxes in all, and together they make 16. 16 ÷ 4 = 4, so each box is 4. The muffins have 1 box: 1 × 4 = 4.
💡 How to solve: Ratio Tape Diagrams: Given the Total
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Try a similar one
At a soccer game, the ratio of home fans to away fans is 5 : 3. There are 24 fans in all. 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
💡 There are 4 + 1 = 5 boxes in all, and together they make 15. 15 ÷ 5 = 3, so each box is 3. The novels have 1 box: 1 × 3 = 3.
✓ Correct!
Not quite. The answer is
💡 There are 4 + 1 = 5 boxes in all, and together they make 15. 15 ÷ 5 = 3, so each box is 3. The novels have 1 box: 1 × 3 = 3.
💡 How to solve: Ratio Tape Diagrams: Given the Total
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Try a similar one
In a fruit basket, the ratio of apples to oranges is 5 : 2. There are 28 pieces of fruit in all. 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
💡 There are 2 + 3 = 5 boxes in all, and together they make 15. 15 ÷ 5 = 3, so each box is 3. The red marbles have 2 boxes: 2 × 3 = 6.
✓ Correct!
Not quite. The answer is
💡 There are 2 + 3 = 5 boxes in all, and together they make 15. 15 ÷ 5 = 3, so each box is 3. The red marbles have 2 boxes: 2 × 3 = 6.
💡 How to solve: Ratio Tape Diagrams: Given the Total
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Try a similar one
At the kennel, the ratio of cats to dogs is 1 : 3. There are 16 animals in all. 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
💡 There are 3 + 5 = 8 boxes in all, and together they make 40. 40 ÷ 8 = 5, so each box is 5. The cookies have 5 boxes: 5 × 5 = 25.
✓ Correct!
Not quite. The answer is
💡 There are 3 + 5 = 8 boxes in all, and together they make 40. 40 ÷ 8 = 5, so each box is 5. The cookies have 5 boxes: 5 × 5 = 25.
💡 How to solve: Ratio Tape Diagrams: Given the Total
Count all the boxes in both tapes. Divide the total by the number of 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 and 27 in all, there are 9 boxes, 27 ÷ 9 = 3, so the amounts are 4 × 3 = 12 and 5 × 3 = 15.
Try a similar one
In a bag, the ratio of red marbles to blue marbles is 2 : 1. There are 12 marbles in all. 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 Total — Easy Worksheet 1
Use the tape diagram. Find the value of one box first, then answer the question.