If it takes 2 cups of cocoa and 1 cup of sugar to make nine brownies, how many cups of cocoa and sugar, would it take to make 81 brownies

1 answer

Since it takes 2 cups of cocoa and 1 cup of sugar to make 9 brownies, we can set up a proportion to find out how many cups of cocoa and sugar it would take to make 81 brownies.

Let x represent the number of cups of cocoa and sugar needed to make 81 brownies.

According to the proportion, we have:

2 cups of cocoa / 1 cup of sugar = 9 brownies / x cups of cocoa and sugar.

Using cross multiplication, we can solve for x:

2 * x = 1 * 81

2x = 81

Now, we can solve for x:

x = 81 / 2.

x = 40.5.

Therefore, it would take 40.5 cups of cocoa and sugar to make 81 brownies.