Question

At the math store, each circle cost one amount, and each square cost another amount. Five circles plus one square cost 20. Two circles plus three square cost 21. At these prices, how many cents does twelve circles plus five squares cost?

Answer 1

Step-by-step explanation:

Let’s assume a circle is X and a square is Y.

The problem states:

5x + 1y = 20

2x + 3y = 21

Taking the 1st equation we can see that

1y = 20-5x which is the same as

y = 20–5x

If we replace y in the 2nd equation with the above we get:

2x + 3(20–5x) = 21

which is the same as

2x + 60 - 15x = 21

we can rearrange to get

2x -15x = 21 -60

which is the same as:

-13x = -39

therefore x = -39/-13 or

x = 3

We can then calculate y

If y = 20–5x, then y = 20 -15

There y = 5

So to answer you question, 12 circles plus 5 squares =

12x + 5y = 12(3) + 5(5) = 36 + 25 = 61 cents

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