Question

gianna has $760 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 $356.46.
she buys 2 bicycle reflectors for $10.01 each and a pair of bike gloves for $20.72.
she plans to spend some or all of the money she has left to buy new biking outfits for $45.35 each.
write and solve an inequality which can be used to determine o, the number of outfits gianna can purchase while staying within her budget.
answer attempt 1 out of 3
inequality:
o

Explanation:

Step1: Calculate total spent on non - outfits

First, find the total amount spent on the bicycle, reflectors, and gloves. The cost of the bicycle is $356.46$, the cost of 2 reflectors at $10.01$ each is $2\times10.01 = 20.02$, and the cost of gloves is $20.72$. So the total spent on non - outfits is $356.46+20.02 + 20.72=397.2$.

Step2: Set up the inequality

The total amount of money Gianna has is $760$. Let $o$ be the number of outfits. The cost of each outfit is $45.35$. The total amount spent on non - outfits plus the total amount spent on outfits must be less than or equal to the total money she has. So the inequality is $397.2+45.35o\leq760$.

Step3: Solve the inequality for $o$

Subtract $397.2$ from both sides of the inequality:
$45.35o\leq760 - 397.2$
$45.35o\leq362.8$
Then divide both sides by $45.35$:
$o\leq\frac{362.8}{45.35}$
$o\leq8$

Answer:

Inequality: $397.2 + 45.35o\leq760$
$o\leq8$