Question

Bella has $540 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 $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.

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

Answer 1

(540 - 353.59 - (3 x 4.98) - 38.63) / 49.2 = X

Bella can buy 2 outfits without breaking her budget.

Explanation:

Since Bella has $ 540 to spend at a bicycle store for some new gear and biking outfits, and she buys a new bicycle for $ 353.59, 3 bicycle reflectors for $ 4.98 each and a pair of bike gloves for 38.63, and she plans to spend some or all of the money she has left to buy new biking outfits for $ 49.20 each, to determine the number of outfits Bella can purchase while staying within her budget, the following equation must be performed:

(540 - 353.59 - (3 x 4.98) - 38.63) / 49.2 = X

(186.41 - 14.94 - 38.63) / 49.2 = X

132.84 / 49.2 = X

2.7 = X

Therefore, Bella can buy 2 outfits without breaking her budget.