Shelly is going shopping at the mall to buy 3 pairs of shoes. she has a coupon for $2 off per pair of shoes after buying the first pair at full price. shelly is willing to spend $80 to $176 not including tax. if the shoes she purchases are all the same price, what is the least and most amount she can spend per pair?

The least and most amount she can spend per pair is described in two cases given below.

Step-by-step explanation:

Given Shelly is going shopping at the mall to buy 3 pairs of shoes. She has a coupon for $2 off per pair of shoes after buying the first pair at full price. Shelly is willing to spend $80 to $176 not including tax. If the shoes she purchases are all the same price.

we have to find the least and most amount she can spend per pair.

There are two cases which are to be considered one in which no coupon applied which gives minimum amount and the other in which coupon applied gives maximum amount.

Case 1 : Coupon not applied.

Let the cost of a pair of shoes is x

∴ the cost of 3 pair of shoes is 3x

hence, the amount of money she spend is 86<3x<176

⇒

⇒ 26.6<x<58.6

Case 2 : Coupon applied

Let the cost of a pair of shoes is x. Since, there is $2 off per pair of shoes after buying the first pair at full price.

∴ the cost of 3 pair of shoes after applying coupon is 3x-4

hence, the amount of money she spend is 86<3x-4<176

⇒

⇒ 30<x<60

These are the least and most amount she can spend per pair.

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step-by-step explanation:

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