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.
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.