Question

shelly is going shopping at the mall to buy three pairs of shoes. she has a coupon for $2 off per pair of shoes after buying the first pair for full price. shelly is willing to spend $80 to $122 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.

Answer 1

Okay, to start, we can multiply the $2 coupon by two because that is the amount of pairs she is going to by. So it would be $4 off. Now, if all of the shoes she purchased the same price, this is made a little easier. We can simply take $80 and $122 and add it by the $4 discount. Our new numbers would be $84 and $126. Now in order for this to work we would want all the numbers to be the same. We take $84 and divide it by three pairs, to get the values. For the least amount she can spend per pair is $28 and the most amount she can spend per pair is $42. 

Answer 2

Lest amount : $28

Most amount : $42

Explanation:

Hi, to answer this question we have to write an inequality using the information given:

• Shelly is willing to spend $80 to $122
• She will buy 3 pairs of shoes
• She has a coupon for $2 off per pair of shoes after buying the first pair for full price

So, without the coupon the inequality is:

80 ≤ 3x ≤122

Where x is the price of each pair of shoes.(multiplied by 3 because she wants to buy 3 pairs)

Since she has a $2 off coupon per pair after the first, we can say that she has $4 added to her budget ( $2 x 2 pairs ).

So the final inequality is

84 ≤ 3x ≤126

Solving:

84/3 ≤ x ≤126/3

28 ≤ x ≤42

Least amount: $28

Most amount: $42