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?

Answer 1

To solve the problem, let's break it down step-by-step using the information provided:

1. Amelina's Shoes: Let the number of pairs of shoes Amelina has be represented by \( s \).

2. Valerie's Shoes: Valerie has four less than three times the number of pairs of shoes that Amelina has. This can be written as: \[ V = 3s - 4 \] where \( V \) represents the number of pairs of shoes Valerie has.

3. Peter's Shoes: Peter has twice the number of pairs of shoes that Valerie has. Therefore, we express this as: \[ P = 2V \] Substituting the expression for \( V \) from above, we get: \[ P = 2(3s - 4) \]

Now, simplifying the expression for \( P \): \[ P = 2 \cdot 3s - 2 \cdot 4 \] \[ P = 6s - 8 \]

Thus, the algebraic expression that represents the number of pairs of shoes that Peter has is: \[ \boxed{6s - 8} \]