Question

.Boubacar has $620 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 $296.04.• He buys 3 bicycle reflectors for $5.22 each and a pair of bike gloves for $13.26.• He plans to spend some or all of the money he has left to buy new biking outfitsfor $46.10 each.......Write and solve an inequality which can be used to determine o, the number of outfitsBoubacar can purchase while staying within his budget.Inequality:Submit Answer

Answer 1

Data:

Total: $620

Buys:

bicycle: $296.04

reflectors: 3* $5.22

gloves: $13.26

Calculate the amount that he has left

`\begin{gathered} 620-296.04-3(5.22)-13.26 \\ =620-296.04-15.66-13.26 \\ =295.04 \end{gathered}`

biking outfits: o

As the amount that he left is $295.04 and the cost of each outfit is $46.10 you get the next:

46.10 o needs to be less than or equal to 295.04

Inequality:
`46.10o\leq295.04`

To solve you divide both sides of the inequality into 46.10

`\begin{gathered} (46.10)/(46.10)o\leq(295.04)/(46.10) \\ \\ o\leq6.4 \end{gathered}`Then o (number of ountfits) is less than or equal to 6.4. As an outfit cannot be 0.4 you can say that Boubacar can buy 6 or less biking outfits.