Answer:
14 whole pizzas (with 1/2 cup cheese left over).
Step-by-step explanation:
The 3/4 cup/pizza is a conversion factor. We can use it in either of two forms:
- 3/4 cup/pizza, or
- 4/3 pizzas/cup
I like the second factor best, but only because I dislike division, which would be required for the first factor. Either will work.
--------------------------------
If we look at the units, the second factor is written as pizza/cup. I want to know the number of pizzas that can be made, so we can convert cups into pizzas by using the second factor and multiplying:
(11 cups)*(4/3 pizzas/cup) = 44/3 pizzas [Note how cups cancels]
This is 14 2/3 pizzas. We'll round down to 14 complete pizzas and save the remaining cheese for later. [(14 pizzas)*(3/4 cup/pizza) = 10.5 cups of cheese. so we'll have 1/2 cup cheese remaining]
----------------
The first conversion factor gives the same result, but we need to divide:
Divide the 11 cups of cheese by the cups of cheese needed for each pizza.
(11 cups)*(4/3 pizza/cup) = 44/3 pizzas.
(11 cups)/(3/4 cup/pizza)
