Problema Solution

On a mothers 25mile commute to work, she drops her daughter off at a child care center. The first part of the trip is 7 miles less than the second part. How long is each part of her morning commute

Answer provided by our tutors

let


x = the miles passed in the first part


y = the miles passed in the second part


the first part of the trip is 7 miles less than the second part:


x = y - 7


the total length of the trip is 25 miles:


x + y = 25


by solving the system of equations:


x = y - 7


x + y = 25


we find:


x = 9 mi


y = 16 mi


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the first part is 9 miles and the second part is 16 miles long.