Amelina has s pairs of shoes. Valerie has four less than three times the number of pairs of shoes that Amelina has. Peter has twice the number of pairs of shoes that Valerie has. Which algebraic expression represents the number of pairs of shoes that Peter has?(1 point)

Question

Responses

4(2−3s)
4 left parenthesis 2 minus 3 s right parenthesis

2(4−3s)
2 left parenthesis 4 minus 3 s right parenthesis

2(3s−4)
2 left parenthesis 3 s minus 4 right parenthesis

2(3s+4)

Answer 1

To find the algebraic expression that represents the number of pairs of shoes that Peter has, let's break down the problem step by step.

1. Amelina's pairs of shoes: She has \( s \) pairs of shoes.

2. Valerie's pairs of shoes: Valerie has four less than three times the number of pairs of shoes Amelina has. Therefore, the expression for Valerie's shoes is: \[ 3s - 4 \]

3. Peter's pairs of shoes: Peter has twice the number of pairs of shoes that Valerie has. So, we multiply Valerie's quantity by 2: \[ 2(3s - 4) \]

Now we can see that the correct expression that represents the number of pairs of shoes that Peter has is: \[ 2(3s - 4) \]

Thus, the answer is: 2(3s−4)