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