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%

Respuesta :

Answer:

135%

Step-by-step 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

[tex]\frac{1}{\frac{1}{2}}=\frac{x}{2\frac{1}{4}}[/tex]

Convert mixed number to an improper fraction

[tex]2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}[/tex]

substitute in the proportion

[tex]\frac{1}{\frac{1}{2}}=\frac{x}{\frac{9}{4}}\\\\x=\frac{(9/4)}{(1/2)}\\\\x=4.5\ servings[/tex]

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%

[tex]4.5(30\%)=135\%[/tex]