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MEAP Preparation - Grade 7 Mathematics
2.6 Ratio Word Problems

  • 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.

  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.
Solve for x in 4:x = 9:18
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: Ann swam ten laps in 24 minutes while Mary took only 21 minutes to do the same number of laps. The ratio of the time taken by Ann to the time taken by Mary is 21:24 = 7:8.

Q 2: The ratio of 1 meter to 1 cm is 100:1.

Q 3: The ratio of 4 days to a week is 4:7.

Q 4: John painted 9 tables and 18 chairs. The ratio of tables painted to chairs painted can be represented as 9:18 = 1:2.

Q 5: The ratio of 1 gram to 1 kg is 1:1.

Q 6: The ratio of an hour to 15 minutes is 4:1.

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