vaAnnaWralynnricia vaAnnaWralynnricia
  • 26-11-2016
  • Mathematics
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Matthew currently has enough money to buy 45 toy cars. If the cost of each car was 10 cents less, Matthew could buy 5 more cars. How much money does Matthew have to spend on toy cars?

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JcAlmighty
JcAlmighty JcAlmighty
  • 28-11-2016
The answer is $45

Let's make the system of equations.
x - the cost of the car
y - the amount Matthew has

Matthew currently has enough money to buy 45 toy cars:
y =45x
If the cost of each car was 10 cents less, Matthew could buy 5 more cars: 
y = (x - 10)*(45 + 5)

45x = (x - 0.10) * 50
45x = 50x - 5
5 = 50x - 45x
5 = 5x
x = 5 / 5
x = 1

y = 45x = 45 * 1 = $45
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