Question

James and Jenny are purchasing stationery. James' bill after he purchased four pens and three pencils was $26.75 while Jenny's bill amounted to $35.25 when she purchased four pens and five pencils. Calculate the cost of each type of item purchased.

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Answer 1

Pens = $3.50

Pencils = $4.25

Explanation:

4x + 5y = 36.25

4x + 3y = 26.75

Subtract

2y = 8.50

Divide

y = 4.25

Substitute

4x + 3(4.25) = 26.75

4x = 12.75

x = 3.50