Question

Mariam has $560 to spend at a bicycle store for some new a gear

and
biking outfits. Assume all prices listed include tax.
•
She buys a new bicycle for $275.67.
She buys 3 bicycle reflectors for $16.32 each and a pair of bike
gloves for $24.39.
She plans to spend some or all of the money she has left to buy new
biking outfits for $27.40
each.
Write and solve an inequality which can be used to determine x, the
number of outfits Mariam can purchase while staying within her
budget.

Answer 1

`\boxed{275.67+3(16.32)+24.39+27.40x \leq 560}\\\\27.40x +349.02 \leq 560\\\\27.40x \leq 210.98\\\\x \leq 7.7`

Rounding down yields
`\boxed{x \leq 7}`.