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MEAP Preparation - Grade 7 Mathematics
2.6 Ratio Word Problems

Ratio
  • Is a comparison of two numbers.
  • The two numbers in the ratio are separated with a colon (:).
  • It can be written as x/y or x:y or x to y
  • Note: To write a ratio, remember to use the same unit.

Examples:
  1. Write the ratio of 4 and 5.
    It can be written as 4:5 or as a fraction 4/5, and we say the ratio is four to five.
  2. Express the ratio of 1 hour to 1 day.
    Solution: Convert days to hours.
    1 day = 24 hours
    ratio of 1 hour to 1 day is written as 1:24
Proportion: is when you equate two ratios.
Example:
Solve for x in 4:x = 9:18
Solution:
Rewrite the ratio in fraction form: 4/x = 9/18
Cross-multiply: 9x = 72
so x = 8

Directions: Choose the correct answers. Also write at least ten examples of your own.
Q 1: The ratio of 30 minutes to 3 hours is 30:3.
False
True

Q 2: The ratio of 1 feet to 20 inches is 12:20.
False
True

Q 3: The ratio of 7 hours to 120 minutes is 7:2.
False
True

Q 4: The ratio of 4 days to a week is 4:7.
True
False

Q 5: The ratio of an hour to 15 minutes is 4:1.
True
False

Q 6: The ratio of 1 gram to 1 kg is 1:1.
True
False

Q 7: The ratio of 1 meter to 1 cm is 100:1.
False
True

Q 8: The ratio of 100 meters to 1 kilometer is 1:10.
True
False

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Question 10: This question is available to subscribers only!


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