Sire bought 3 slices of pizza and 2 orders of fries for a total of \( \$ 21 \). The cost of one slice of pizza is \( \$ 2.00 \) more than the costs of one order of fries. What is the COMBINED costs of one slice of pizza and one order of fries?

Let's solve the problem step by step. **Let:** - \( P \) = cost of one slice of pizza - \( F \) = cost of one order of fries **Given:** 1. Sire bought 3 slices of pizza and 2 orders of fries for a total of \$21: \[ 3P + 2F = 21 \] 2. The cost of one slice of pizza is \$2.00 more than one order of fries: \[ P = F + 2 \] **Step 1: Substitute \( P \) in the first equation** Replace \( P \) with \( F + 2 \) in the equation \( 3P + 2F = 21 \): \[ 3(F + 2) + 2F = 21 \] **Step 2: Simplify the equation** \[ 3F + 6 + 2F = 21 \] \[ 5F + 6 = 21 \] **Step 3: Solve for \( F \)** \[ 5F = 21 - 6 \] \[ 5F = 15 \] \[ F = 3 \] **Step 4: Solve for \( P \)** Using \( P = F + 2 \): \[ P = 3 + 2 = 5 \] **Combined Cost of One Slice of Pizza and One Order of Fries:** \[ P + F = 5 + 3 = \$8 \] **Answer:** The combined cost of one slice of pizza and one order of fries is **\$8**.