Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?

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Mathematics

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7 October, 01:57

Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?

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Answers (1)

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Skye Clay · Answer 1

The Brandon did have $12.5 before going to store

Step-by-step explanation:

Let the Brandon did have money $x before going to the store.

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

i. e He spent (x - 2.50) / 2 on notebook and paper.

So the total amount he spent = 2.50 + (x - 2.50) / 2

Amount left when he got home = $ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x - 2.50) / 2) = 5

=> x - 2.50 - x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

So the Brandon did have $12.5 before going to store