Jason has $540 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 $217.34.
He buys 4 bicycle reflectors for $9.08 each and a pair of bike gloves for $12.18.
He plans to spend some or all of the money he has left to buy new biking outfits for $68.54 each.

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

1 answer

The total amount of money Jason spent on the bicycle, reflectors, and gloves is $217.34 + (4 * $9.08) + $12.18 = $217.34 + $36.32 + $12.18 = $270.84.

The maximum amount of money he can spend on biking outfits is $540 - $270.84 = $269.16.

Let o be the number of outfits Jason can purchase. Each outfit costs $68.54.

Therefore, the inequality that represents this situation is:

68.54o ≤ 269.16.

To solve for o, divide both sides of the inequality by 68.54:

o ≤ 269.16 / 68.54.

o ≤ 3.93 (rounded to two decimal places).

Therefore, Jason can purchase a maximum of 3 outfits while staying within his budget.