Question

Mrs. Delgado purchased notebooks at $2.50 each and pens at $2.00 per package. She spent $19.00 for a total of 8 items. Which system of equations below could be used to find n, the number of notebooks, and p, the number of packages per pens, that Mrs. Delgado purchased?

Answer 1

6,2

Explanation:

(looked at in desmos)

Answer 2

1. n+p = 8
2. 2.5n + 2p = 19

Explanation:

let n be the total number of notebooks.

let p be the total number of pens.

according to the question total number of pen and notebook is 8.

Therefore mathematically

n+p = 8 ---------------------equation A

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cost of one notebook = $2.50

number of notebook = n

therefore total cost of n notebook = n* 2.50 = 2.5n

cost of one pen = $2.00

number of pen = p

therefore total cost of p pen = p* 2.00 = 2p

according to the question total c cost of pen and notebook is $19.00.

Therefore mathematically

2.5n + 2p = 19 ---------------------equation B

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Set of equation as required by question are

1. n+p = 8 ---------------------equation A
2. 2.5n + 2p = 19 ---------------------equation B