SOLUTION: A local Dominos sold a total of 1,600 small pizzas ($9) and pasta dinners ($13) during the Super Bowl. How many pizzas did Dominos sell if total sales were $15,600?

Question 1127512: A local Dominos sold a total of 1,600 small pizzas ($9) and pasta dinners ($13) during the Super Bowl. How many pizzas did Dominos sell if total sales were $15,600?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
p, pizzas
1600-p, pasta Dinners

-

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The algebraic solution method is fine. But if a formal solution is not required, you can get the answer to this problem (and many similar problems) much faster and with less work using logical reasoning.

For this problem, the reasoning goes like this:

(1) If all 1600 items were small pizzas, the total sales would be 1600*$9 = $14,400.
(2) The actual sales amount was $15,600; the difference between the two totals is $15,600-$14,400 = $1200.
(3) Each pasta dinner costs $4 more than each small pizza.
(4) To make the additional $1200, the number of pasta dinners sold has to be $1200/$4 = 300.
(5) The number of small pizzas sold was 1600-300 = 1300.
RELATED QUESTIONS
Large pizzas cost $18.00 and small pizzas cost $11.00. The restaurant sold 34 pizzas with (answered by Cromlix)
a pizzeria sells three sizes of pizza: small, medium, and large. the pizzas sell for $9,... (answered by Boreal)
a pizzeria sells three sizes of pizza: small, medium, and large. the pizzas sell for $9,... (answered by ikleyn)
The chess club sold 2116 pizzas during a fundraiser that lasted for all of March, April... (answered by stanbon)
The Chess Club sold 2,116 pizzas during a fundraiser that lasted for all of... (answered by solver91311,josmiceli)
A person was in charge of ordering 26 pizzas for the office party. He ordered three types (answered by greenestamps)
A person was in charge of ordering 2626 pizzas for the office party. He ordered three... (answered by ikleyn)
Ben was in charge of ordering 35 pizzas for the office party. He ordered three types... (answered by richwmiller)
Ben was in charge of ordering 16 pizzas for the office party. He ordered three types... (answered by Boreal,jorel1380,stanbon,MathTherapy)