Nevaeh has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys
1 answer:
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
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Answer:
The cost is $9.70 per kilogram.
Step-by-step explanation:
This can be solved by a rule of three.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.
Solution:
The problem states that cheese costs $4.40 per pound. Each kg has 2.2 pounds. How many kg are there in 1 pound. So:
1 pound - xkg
2.2 pound - 1 kg
kg
Since cheese costs $4.40 per pound, and each pound has 0.45kg, cheese costs $4.40 per 0.45kg. How much does is cost for 1kg?
$4.40 - 0.45kg
$x - 1kg
The cost is $9.70 per kilogram.