Question

A pencil cost $1.20 and a pen cost $2.90. Jasmiah bought an equal number of such pencils and pens. She spent $32.30 more on the pens than on the pencils. How many pencils and pens did she buy altogether?

Answer 1

19

Explanation:

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Answer 2

38

Explanation:

Let x be the number of pencils bought.

Let y be the number of pens bought.

Given information from the question:

x = y - equation 1

2.9y - 1.2x = 32.30 - equation 2

From here we can use the substitution method in solving simultaneous equations to find x and y. We will substitute equation 1 into equation 2.

2.9y - 1.2y = 32.30

1.7y = 32.30

y =
`(32.3)/(1.7) \\= 19`

Now since we know number of pens = number of pencils,

x = 19

Total Pencils and Pens bought = x + y = 19 + 19 = 38