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Vedmedyk [2.9K]
3 years ago
8

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?
Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0
The answer is $45

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

<span>Matthew currently has enough money to buy 45 toy cars:
y =45x
</span><span>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</span>
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