Problema Solution

this year the state highway department in montana purchased 252 identical cars and 178 identical trucks. the purchase price was 5,715,616. the next year the department plans to purchase only 63 cars and 111 trucks. it will be charged the same price for each car and truck. next year, it plans to spend 2,612,604. how much does the department pay for each car and for each truck?

Answer provided by our tutors

let car = x

truck = y

252x+178y = 5715616

63x + 111y = 2612604

equation 2 multiplied by 4:

252x + 444y = 2612604*4

252x + 178y = 5715616

=> 266 y = 4734800

=> y = 17800

=> x = 10108