Bill plans to buy school supplies and the following equation represents what he bought.
5x + 20y = 50 is the equation that shows that he spent $50 and bought 5 binders and 20 pencils. Let
X represent the cost of binders and y represent the cost of pencils
1. How much is each binder if each pencil cost $0.50? Explain how you know.
2. How much is each pencil if the binders cost 8 dollars each? Explain how you know.

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Answer:

1. x = 8

2. y = 1/2

Step-by-step explanation:

1. Plug the function

5x + 20(0.50) = 50

= 5x + 10 = 50

Subtract 10 from both side

= 5x = 40

Divide 5 on both sides

= x = 8

2. Plug in the function

5(8) + 20y = 50

= 40 + 20y = 50

Subtract 40 on both sides

= 20y = 10

Divide 20 both sides

= y = 10/20 | 1/2

Answer:

1. 8

Explanation: 5x + 20(.50)=50

5x + 10=50. Now do 50-10 to get 40. So,

5x=40. Now divide 40/5 to get 8.

2. .5

5(8) + 20x=50. Now do 5*8

40 + 20x=50. Now, 50-40 to get

20x=10. And divide 10/20 to get .5