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.