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(39616)   (Show Source):
Answer by greenestamps(13198)  (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.
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