Question

A recipe calls for3/4

of a cup of sugar. The recipe makes 2 servings. The baker needs to make 5 1/3 servings. The baker has 1 cup of sugar.
How many more cups of sugar does the baker need? Round to the nearest hundredth, if necessary. Enter the answer in the box.
cup(s)

Answer 1

1.00 cup

Explanation:

-Given that for every 2 servings 3/4 cups of sugar is needed.

-Let X be the number of cups needed for 5 1/3 servings.

#We equate and cross-multiply the ratios to solve for X:

`2 \ servings=(3)/(4)\ cups\\5(1)/(3)\ servings=X\\\\\therefore X=(5(1)/(3)* (3)/(4))/(2)\\\\=2\ cups`

-We know that the baker already has 1 cup of sugar:

`Balance=2-1\\\\=1\ cup`

Hence, the baker needs an additional 1.00 cup of sugar