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.

Explanation:

Step1: Calculate total spent so far

First, calculate the cost of 2 reflectors: $2 \times 11.17 = 22.34$. Then sum all initial purchases:
$\$488.20 + \$22.34 + \$19.05 = \$529.59$

Step2: Define remaining budget

Subtract total spent from initial budget:
$\$660 - \$529.59 = \$130.41$

Step3: Set up inequality for outfits

Let $x$ = number of outfits. Each costs $\$37.26$, so total outfit cost is $37.26x$. This must be ≤ remaining budget:
$37.26x \leq 130.41$

Step4: Solve for x

Divide both sides by 37.26:
$x \leq \frac{130.41}{37.26} = 3.5$
Since $x$ must be a whole number, $x \leq 3$.

Answer:

Inequality: $37.26x + 529.59 \leq 660$ (or simplified to $37.26x \leq 130.41$)
Keilantra can purchase at most 3 outfits.