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Solving Proportions — Easy Worksheet 1
Grade 6 · Whoobee Name: ____________________ Date: __________
Solve each proportion for x, or answer the question.
How to solve
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Example
35 = x15
Answer: x = 9
Not quite. The answer is
💡 4 × 3 = 12, so x = 1 × 3 = 3. So x = 3.
✓ Correct!
Not quite. The answer is
💡 4 × 3 = 12, so x = 1 × 3 = 3. So x = 3.
💡 How to solve: Solving Proportions
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Try a similar one
32 = 15x
✓ 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
💡 3 × 3 = 9, so x = 2 × 3 = 6. So x = 6.
✓ Correct!
Not quite. The answer is
💡 3 × 3 = 9, so x = 2 × 3 = 6. So x = 6.
💡 How to solve: Solving Proportions
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Try a similar one
53 = x15
✓ 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
💡 3 × 5 = 15, so x = 5 × 5 = 25. So x = 25.
✓ Correct!
Not quite. The answer is
💡 3 × 5 = 15, so x = 5 × 5 = 25. So x = 25.
💡 How to solve: Solving Proportions
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Try a similar one
25 = 10x
✓ 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
💡 Write both ratios as drops of red over drops of yellow: 32 = 6x. 3 × 2 = 6, so x = 2 × 2 = 4. The answer is 4 drops of yellow.
✓ Correct!
Not quite. The answer is
💡 Write both ratios as drops of red over drops of yellow: 32 = 6x. 3 × 2 = 6, so x = 2 × 2 = 4. The answer is 4 drops of yellow.
💡 How to solve: Solving Proportions
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Try a similar one
54 = x16
✓ 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
💡 4 × 5 = 20, so x = 5 × 5 = 25. So x = 25.
✓ Correct!
Not quite. The answer is
💡 4 × 5 = 20, so x = 5 × 5 = 25. So x = 25.
💡 How to solve: Solving Proportions
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Try a similar one
45 = 20x
✓ 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
💡 1 × 3 = 3, so x = 3 × 3 = 9. So x = 9.
✓ Correct!
Not quite. The answer is
💡 1 × 3 = 3, so x = 3 × 3 = 9. So x = 9.
💡 How to solve: Solving Proportions
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Try a similar one
14 = 3x
✓ 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
💡 Write both ratios as pounds over dollars: 45 = 8x. 4 × 2 = 8, so x = 5 × 2 = 10. The answer is $10.
✓ Correct!
Not quite. The answer is
💡 Write both ratios as pounds over dollars: 45 = 8x. 4 × 2 = 8, so x = 5 × 2 = 10. The answer is $10.
💡 How to solve: Solving Proportions
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Try a similar one
52 = 15x
✓ 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
💡 4 × 4 = 16, so x = 5 × 4 = 20. So x = 20.
✓ Correct!
Not quite. The answer is
💡 4 × 4 = 16, so x = 5 × 4 = 20. So x = 20.
💡 How to solve: Solving Proportions
A proportion says that two ratios are equal. Look for the number that one ratio was multiplied by: in 34 = x20, 4 × 5 = 20, so x = 3 × 5 = 15. When there is no easy multiplier, cross-multiply: in 69 = x12, 9 × x = 6 × 12, so 9x = 72 and x = 8. In a word problem, write both ratios in the same order (for example miles over hours on both sides) before you solve.
Try a similar one
25 = x25
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Solving Proportions — Easy Worksheet 1
Solve each proportion for x, or answer the question.