Question

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.

Answer 1

Answer:
He can buy 3 outfits
Explanation:
Total: $640
New Bicycle: $356.89
Reflector(2)=$16.70(each)
Gloves:$27.47
First, we calculate the amount left.
Amount=total - (new bicycle + reflector * 2 + gloves)
Amount=$640 - ($356.89 + $16.70 * 2 + $27.47)
Amount=$640 - ($356.89 + $33.40 + $27.47)
Amount=$640 - $417.76
Amount=$222.24
An outfit costs $74.08 and he plans to buy x outfits.
The inequality is as follows:
$74.08x <_(less than or equal to) $222.24
The amount spent on outfits cannot exceed $222.24.
Divide both sides by $74.08.
$74.08x <_ $222.24
/$74.08 /$74.08
X <_ 3
To stay within budget, Eli can buy exactly 3 outfits on top of everything else.