Question

A recipe that makes 6 cheesecakes called for 3/4 cup of sugar. How many cups of sugar are needed to make 32 cheesecakes?

Answer 1

To make 32 cheesecakes, you would need 4 cups of sugar.

Step-by-step explanation:

To find out how many cups of sugar are needed to make 32 cheesecakes, we can set up a proportion using the given information. The recipe makes 6 cheesecakes with 3/4 cup of sugar, so the ratio of cheesecakes to sugar is 6:3/4. We can then set up the proportion:

6/ (3/4) = 32/x

Cross-multiplying, we get 6x = (3/4) * 32

Dividing both sides by 6, we find that x = (3/4) * 32 / 6 = 16/4 = 4 cups

Answer 2

For this case we propose a rule of three taking into account that:

6 cakes ---------->
`\frac {3} {4}` cup of sugar

32 cakes --------> x

Where the variable "x" represents the amount of cups of sugar needed for 32 cheesecakes.

`x = \frac {32 * \frac {3} {4}} {6}\\x = \frac {24} {6}\\x = 4`

Thus, 4 cups of sugar are needed to make 32 cheesecakes.

Answer:

4 cups of sugar