Mav has $560 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 $425.05.
She buys 4 bicycle reflectors for $15.19 each and a pair of bike gloves for $15.79.
She plans to spend some or all of the money she has left to buy new biking outfits for $29.20 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Mav can purchase while staying within her budget.
Let x represent the number of outfits Mav can purchase.
The total cost of the bicycle, reflectors, gloves, and outfits can be represented by the inequality:
425.05 + 4(15.19) + 15.79 + 29.20x ≤ 560
Simplify the inequality:
425.05 + 60.76 + 15.79 + 29.20x ≤ 560
501.60 + 29.20x ≤ 560
Subtract 501.60 from both sides:
29.20x ≤ 58.40
Divide by 29.20 to solve for x:
x ≤ 2
Mav can purchase up to 2 biking outfits while staying within her budget.