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Samantha has $600 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 $392.25.
• She buys 3 bicycle reflectors for $7.01 each and a pair of bike gloves for $34.96.
She plans to spend some or all of the money she has left to buy new biking outfits
for $75.88 each.
Write and solve an inequality which can be used to determine x, the number of
outfits Samantha can purchase while staying within her budget.
Inequality:
х

Sagot :

Facundo3141592idn

We want to find an inequality that says how many outfits Samantha could buy.

The solution is x ≤ 2

We know that she has $600 to spend.

She already spent:

  • $392.25 in her bicycle
  • 3 bicycle reflectors for $7.01 each, so the total is: 3*$7.01 = $21.03
  • $34.96 in a pair of gloves.

The total amount she already spent is:

$392.25 + $21.03 + $34.96 = $448.24

The amount of money that she has left is:

$600 -  $448.24 = $151.76

Ok, now we know that each outfit costs $75.88

So the price of x of these will be x times $75.88

price = $75.88*x

This must be equal or smaller than the amount of money that she has left:

$75.88*x ≤ $151.76

x ≤ $151.76/$75.88 = 2

x ≤ 2

This is the inequality that represents the number of outfits that she can buy.

If you want to learn more, you can read:

https://brainly.com/question/20383699

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