1. **State the problem:**
A restaurant charges a delivery fee plus the price of pizzas. One customer pays 25 for 2 pizzas, another pays 58 for 5 pizzas. Find how many pizzas a customer gets for 80.
2. **Set variables:**
Let $d$ be the delivery fee and $p$ be the price per pizza.
3. **Write equations from given data:**
For 2 pizzas: $$d + 2p = 25$$
For 5 pizzas: $$d + 5p = 58$$
4. **Subtract first equation from second to eliminate $d$:**
$$ (d + 5p) - (d + 2p) = 58 - 25 $$
$$ \cancel{d} + 5p - \cancel{d} - 2p = 33 $$
$$ 3p = 33 $$
5. **Solve for $p$:**
$$ p = \frac{33}{3} = 11 $$
6. **Substitute $p=11$ into first equation to find $d$:**
$$ d + 2(11) = 25 $$
$$ d + 22 = 25 $$
$$ d = 25 - 22 = 3 $$
7. **Write total cost formula:**
$$ \text{Total cost} = d + p \times \text{number of pizzas} = 3 + 11x $$
8. **Find number of pizzas $x$ for total cost 80:**
$$ 3 + 11x = 80 $$
$$ 11x = 80 - 3 = 77 $$
$$ x = \frac{77}{11} = 7 $$
**Answer:** A customer who pays 80 receives 7 pizzas.
Pizza Delivery 3Fd567
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