Question

Mav has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.She buys a new bicycle for $425.05.

She buys 4 bicycle reflectors for $15.19 each and a pair of bike gloves for $15.79.
She plans to spend some or all of the money she has left to buy new biking outfits for $29.20 each.

Write and solve an inequality which can be used to determine
�
o, the number of outfits Mav can purchase while staying within her budget.

Answer 1

Inequality:

29.2x + 501.60 ≤ 560

Answer:

She may buy up to 2 reflectors.

Explanation:

She can spend up to $560, so the total expense has to be less than or equal to $560.

total expense ≤ 560

All items she buys have a price and a number of items except for the outfits which have a price but an unknown number.

Let x = number of outfits.

total expense = $425.05 + 4 × $15.19 + $15.79 + x × $29.20

total expense = 29.2x + 501.60

Inequality:

29.2x + 501.60 ≤ 560

29.2x ≤ 58.4

x ≤ 2

She may buy up to 2 reflectors.