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

Answer 1

We know that Keilantra has $660 to spend, she has already spent $488.20 on a bicycle, $11.17 on two reflectors and $19.05 on a pair of gloves.

We can represent the amount spent on reflectors as 2 * $11.17 = $22.34

So the total amount spent so far is:

$488.20 + $22.34 + $19.05 = $529.59

We can represent the remaining amount of money she has to spend on outfits as:

$660 - $529.59 = $130.41

We can use this remaining amount to find out the number of outfits she can purchase by dividing the remaining amount by the cost of each outfit:

$130.41 / $37.26 = 3.5

The inequality that represents this situation is:

x <= 3.5

Where x is the number of outfits Keilantra can purchase while staying within her budget.

This inequality tells us that Keilantra can purchase at most 3.5 biking outfits while staying within her budget.

However, since the number of outfits has to be a whole number, the greatest number of outfits that Keilantra can buy is 3.