Question

Keilantra has $660 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 $488.20.
She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.
Write and solve an inequality which can be used to determine x, the number of outfits Keilantra can purchase while staying within her budget.

Answer 1

Please write your inequality in the form ax+b≤c.

Answer 2

The total cost of the new gear and biking outfits she has already bought is:
$488.20 for the new bicycle + $11.17 for each of the 2 bicycle reflectors + $19.05 for the bike gloves = $<<488.20+11.17*2+19.05=529.59>>529.59

Let x be the number of outfits Keilantra can purchase.

The total cost of the biking outfits she plans to buy is:
$37.26 for each outfit

Since all prices listed include tax, the inequality can be written as:
$529.59 + $37.26x ≤ $660

Simplifying the inequality:
$37.26x ≤ $660 - $529.59

$37.26x ≤ $130.41

Dividing both sides of the inequality by $37.26:
x ≤ $130.41 / $37.26

x ≤ 3.5

Therefore, Keilantra can purchase a maximum of 3 biking outfits while staying within her budget.

Answer 3

Let x be the number of outfits Keilantra can purchase.

The total cost of the biking outfits she plans to buy is: $37.26 for each outfit

Since all prices listed include tax, the inequality can be written as:
37.26x + 529.59 ≤ 660

Therefore, the inequality in the required form is:
37.26x + 529.59 ≤ 660