Question

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) Responses 2(4−3s) 2 left parenthesis 4 minus 3 s right parenthesis 4(2−3s) 4 left parenthesis 2 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, we can follow these steps based on the information given:

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

2. Valerie's shoes: Valerie has four less than three times the number of pairs that Amelina has. This can be expressed as: \[ \text{Valerie's shoes} = 3s - 4 \]

3. Peter's shoes: Peter has twice the number of pairs of shoes that Valerie has. Therefore, we can write: \[ \text{Peter's shoes} = 2 \times (\text{Valerie's shoes}) = 2(3s - 4) \]

Thus, Peter's number of pairs of shoes can be represented by the expression: \[ 2(3s - 4) \]

The correct answer is: \[ \boxed{2(3s - 4)} \]