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?

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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**.
The combined cost of one slice of pizza and one order of fries is \$8.

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?

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