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 xx, the number of outfits Keilantra can purchase while staying within her budget.

Answer 1

what is the Inequality

Answer 2

Please write your inequality in the form a, x, plus, b, is less than or equal to, cax+b≤c

Answer 3

Keilantra's total budget is $660.

First, she buys a bicycle for $488.20.
The total cost for the 2 bicycle reflectors is 2 * $11.17 = $22.34.
She also buys a pair of bike gloves for $19.05.

Now, let's calculate how much money Keilantra has spent so far:

Total spent = Cost of bicycle + Cost of reflectors + Cost of gloves
Total spent = $488.20 + $22.34 + $19.05
Total spent = $529.59

Next, we need to calculate how much money Keilantra has left to spend on biking outfits:

Money left = Total budget - Total spent
Money left = $660 - $529.59
Money left = $130.41

Each biking outfit costs $37.26.

Let x be the number of biking outfits Keilantra can purchase. We want to write an inequality that represents Keilantra spending less than or equal to the money she has left on x outfits.

So the inequality will be:

Cost of outfits * Number of outfits ≤ Money left
$37.26 * x ≤ $130.41

Now, we solve for x:

x ≤ $130.41 / $37.26
x ≤ 3.5

Since Keilantra cannot buy a fraction of an outfit, we must round down to the nearest whole number.

Therefore, Keilantra can purchase at most 3 biking outfits while staying within her budget.

Answer 4

The inequality is:

$37.26x ≤ $130.41

This is the inequality that represents Keilantra spending less than or equal to the money she has left on x outfits.

Answer 5

The inequality in the requested form is:

37.26x + 0 ≤ 130.41