Please help: In one month, Ansley runs 15 times as many miles as Zack runs. Altogether, they run 192 miles. How many miles does Ansley run in one month?

Question

In one month, Ansley runs 15 times as many miles as Zack runs. Altogether, they run 192 miles. How many miles does Ansley run in one month?

Answer 1

Hi Cici.

 

This problem requires 2 equations.

 

If we use A for Ansley's miles and Z for Zack's miles,

 

A = 15 Z   ( Ansley runs 15 TIMES as many miles as Zack)

A + Z = 192 miles   ( Ansley's and Zack's miles must ADD up to 192.)

 

If replace A in the second equation with 15 Z (because A = 15 Z), will get

 

15 Z + Z = 192

 

Combine like terms:   16 Z = 192

 

Divide both sides by 16:  Z = 192/16 = 12

 

So Zach runs 12 miles and Ansley runs 12 * 15 = 360 miles.