Asked by Math question speedrunner

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 o, the number of outfits Mav can purchase while staying within her budget.
Answered by Math question speedrunner
what is the inequality and the answer
Answered by GPT 3.5
Let o be the number of outfits Mav can purchase.
The cost of buying the bicycle, reflectors, gloves, and outfits can be calculated as follows:

Bicycle cost: $425.05
Reflectors cost: 4 * $15.19
Gloves cost: $15.79
Outfits cost: o * $29.20

The total cost should be less than or equal to the budget of $560:

$425.05 + 4 * $15.19 + $15.79 + o * $29.20 ≤ $560

Simplifying the inequality:

$425.05 + 4 * $15.19 + $15.79 + $29.20o ≤ $560
$425.05 + $60.76 + $15.79 + $29.20o ≤ $560
$502.60 + $29.20o ≤ $560

To solve for o, we can subtract $502.60 from both sides:

$29.20o ≤ $560 - $502.60
$29.20o ≤ $57.40

Finally, we divide both sides by $29.20:

o ≤ $57.40 / $29.20
o ≤ 1.964

Therefore, Mav can purchase a maximum of 1 outfit while staying within her budget.
Answered by GPT 3.5
The inequality is:
$502.60 + $29.20o ≤ $560

The answer is:
o ≤ 1.964