Answer:
The number of outfits she purchase with the left money = 3
Step-by-step explanation:
The exact question is as follows :
Given - Nevaeh 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 $383.32. She buys 4 bicycle reflectors for $9.09 each and a pair of bike gloves for $21.07. She plans to spend some or all of the money she has left to buy new biking outfits for $39.75 each.
To find - Write and solve an inequality which can be used to determine x where x, the number of outfits Nevaeh can purchase while staying within her budget.
Proof -
Given that,
Total money Nevaeh have = $ 560
She spent money on bicycle = $ 383.32
She spend money on 1 reflector = $ 9.09
As she buy 4 bicycle reflector, So
Total money spent on bicycle reflector = $ 4×9.09 = $ 36.36
She spend money on a pair of bike gloves = $ 21.07
So,
Total money she spend on the items = $ 383.32 + 36.36 + 21.07
= $ 440.75
⇒Total money she spend on the items = $ 440.75
So,
Total money Left = $ 560 - $ 440.75 = $ 119.25
Now,
She plans to spend some or all of the money she has left to buy new biking outfits for $ 39.75 each.
Let us assume ,
The number of outfits she purchase with the left money = x
AS,
each outfit cost = $ 39.75
So, x outfits cost = $ 39.75 x
Now,
$ 39.75 x = $ 119.25 (because total money left = $ 119.25)
⇒ x = 
= 3
∴ we get
The number of outfits she purchase with the left money = x = 3
