Your baking cupcakes for the school dance,and your recipe makes 24 cupcakes and needs 2 cups of milk. You need to make 288 cupcakes, how many quarts of milk will you need?

Question

Cameron Arnold · Accepted Answer

You will need #6# quarts of milk (#24# cups).

The number of cupcakes needed #(288)# divided by the number of cupcakes the recipe makes each batch #(24)# is #"288 cupcakes"/"24 cupcakes/recipe" = "12 recipes"# #12# is the number of times you need to remake the recipe to end up with #288# cupcakes. #12# multiplied by the amount of cups of milk per recipe (#2# cups) will give you the total cups needed to make #288# cupcakes #"12 recipes" xx "2 cups"/"1 recipe" = "24 cups of milk"# Now, #24# cups is equivalent to #6# quarts, so you will need #6# quarts of milk to make #288# cupcakes.

Nova Allen · Answer

undefined Since the recipe makes 24 cupcakes and requires 2 cups of milk, you can find the ratio of cupcakes to cups of milk:

$$ \text{Cupcakes to cups of milk} = \frac{24 \text{ cupcakes}}{2 \text{ cups of milk}} = 12 \text{ cupcakes/cup of milk} $$

To find out how many cups of milk are needed for 288 cupcakes, divide the number of cupcakes by the cupcakes-to-cups-of-milk ratio:

$$ \text{Cups of milk} = \frac{288 \text{ cupcakes}}{12 \text{ cupcakes/cup of milk}} = 24 \text{ cups of milk} $$

Finally, convert cups to quarts since there are 4 cups in a quart:

$$ \text{Quarts of milk} = \frac{24 \text{ cups of milk}}{4 \text{ cups/quart}} = 6 \text{ quarts of milk} $$

Therefore, you will need 6 quarts of milk to make 288 cupcakes.