Math  /  Algebra

Question1. Friday night, a pizza parlor sold 5 large pizzas and some medium pizzas. The pizza parlor made a total of \$291. How many medium pizzas were sold?

Studdy Solution

STEP 1

1. The pizza parlor sold 5 large pizzas.
2. The total revenue from the pizzas sold is \$291.
3. The price of a medium pizza is \$9.
4. The price of a large pizza is \$15.
5. We need to find the number of medium pizzas sold.

STEP 2

1. Define variables for the unknown quantities.
2. Write an equation that represents the total revenue.
3. Solve the equation for the unknown variable.

STEP 3

Define variables for the unknown quantities. Let m m represent the number of medium pizzas sold.

STEP 4

Write an equation that represents the total revenue. The revenue from 5 large pizzas is 5×15 5 \times 15 dollars. The revenue from m m medium pizzas is 9m 9m dollars. The total revenue is given as \$291.
5×15+9m=291 5 \times 15 + 9m = 291

STEP 5

Simplify and solve the equation for the unknown variable.
First, calculate the revenue from the large pizzas:
5×15=75 5 \times 15 = 75
Substitute this into the equation:
75+9m=291 75 + 9m = 291
Subtract 75 from both sides to isolate the term with the variable:
9m=29175 9m = 291 - 75 9m=216 9m = 216
Divide both sides by 9 to solve for m m :
m=2169 m = \frac{216}{9} m=24 m = 24
The number of medium pizzas sold is:
24 \boxed{24}

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