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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
7.14 Ratio Story Problems

Example:
Two numbers are in the ratio of 2 to 5. Their sum is 70. Find the two numbers.
Solution:
Let the two numbers be 'x' and 'y'.
Given:
The ratio of two numbers is 2 to 5 therefore x/y = 2/5
their sum is 70: x + y = 70
solving two equations:
x/y = 2/5 => 5x = 2y
x + y = 70
substituting x = 2y/5 in x + y = 70
x + y = 70
2y/5 + y = 70 multiply whole equation by 5
2y + 5y = 350
7y = 350
y = 50
x = 70 - y = 70 - 50 = 20

Directions: Choose the correct answer.
Q 1: The three sides of a triangle are in the ratio 1:2:3. The perimeter of the triangle is 24 cms. Find the three sides.
4,5 and 6
3, 5 and 10
4, 8 and 12

Q 2: Divide 336 into two parts whose ratio is 3 to 4.
144 and 192
136 and 200
134 and 156

Q 3: Two numbers are in the ratio of 3 to 4. Their sum is 105. Find the two numbers.
50 and 30
60 and 45
45 and 80

Q 4: A restaurant served 84 dinners one day. For every 5 dinners served, 2 were pasta. How many pasta dinners were served?
62
60
24

Q 5: Ron drives 100 miles in 2 hours. Express the rate of mile to hours as a fraction.
2/100
100/2

Q 6: The length and width of a rectangle are in the ratio of 5 to 4. The perimeter is 36. Find the length and width.
length is 10 and width is 8
length is 10 and width is 6
length is 12 and width is 8

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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