Question

The label on Adriana's carton of juice has this information listed. One serving size equals 12 cup. Each serving has 30% of the recommended daily amount of vitamin C. Yesterday, Adriana drank 214cups of juice. What percent of the recommended daily amount of vitamin C was in the juice Adriana drank yesterday? 33.75% 67.5% 120% 135%

Answer 1

135%

Explanation:

we know that

One serving size equals 1/2 cup. Each serving has 30% of the recommended daily amount of vitamin C.

step 1

Using proportion

Find out the number of servings if Adriana drank 2 1/4 cups of juice

so

`(1)/((1)/(2))=(x)/(2(1)/(4))`

Convert mixed number to an improper fraction

`2(1)/(4)=2+(1)/(4)=(9)/(4)`

substitute in the proportion

`(1)/((1)/(2))=(x)/((9)/(4))\\\\x=((9/4))/((1/2))\\\\x=4.5\ servings`

step 2

we know that

Each serving has 30% of the recommended daily amount of vitamin C.

so

Multiply the number of servings by 30%

`4.5(30\%)=135\%`