Problema Solution

A car dealership has 378 cars on its lot. The ratio of new cars to used cars is 5:4.

Write and solve a system of equations to find the number of new and used cars

on the lot.

Answer provided by our tutors

let


x = the number of new cars


y = the number of user cars


A car dealership has 378 cars on its lot:


x + y = 378


The ratio of new cars to used cars is 5:4:


x : y = 5 : 4 cross-multiply


4x = 5y


by solving the system of equations:


x + y = 378


4x = 5y


we find:


x = 210 new cars


y = 168 used cars


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there are 210 new cars and 168 used cars on the lot.