Mav has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

Question

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.

Answer 1

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.

Answer 2

what is the inequality and the answer

Answer 3

The inequality is:
$502.60 + $29.20o ≤ $560

The answer is:
o ≤ 1.964