Question

Elisa bought some boxes of pencils for $3.99 each and some boxes of pens at $4.99 each. If p represents the number of boxes of pencils and b represents the number of boxes of pens, which equation describes the relationship between these two variables if she spent a total of $39.91 on these items?

A. 4.99p + 3.99b = 39.91
B. 4.99p - 3.99b = 39.91
C. 3.99p + 4.99b = 39.91
D. 3.99p - 4.99b = 39.91

Answer 1

The equation which describes the relationship between these two variables is 39.91 = 3.99p + 4.99b

Given:

Cost of each box of pencil = $3.99

Cost of each box of pen = $4.99

Total cost = $39.91

let

p = number of boxes of pencils

b = number of boxes of pens

The equation:

Total cost = (Cost of each box of pencil × number of boxes of pencils) + (Cost of each box of pen × number of boxes of pens)

39.91 = (3.99 × p) + (4.99 × b)

39.91 = 3.99p + 4.99b

Therefore, equation which describes the relationship between these two variables is 39.91 = 3.99p + 4.99b

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