Question

You are making 6 quarts of

Answer 1

1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.

Step-by-step explanation:

Let x be the number of quarts of 100% fruit juice

Let y be the number of quarts of 20% fruit juice

The equation for amount of quarts is ;

x+y=6

x=6-y-------------------equation 1

The equation for the amount of quarts of fruit juice to get 80% fruit juice will be;

x(100%)+y(20%)=80%------however you need to make 6 quarts so divide first portion of equation by 6

{x(100%)+y(20%) }/6=80%

Multiply both parts of the equations by 6

x(100%)+y(20%)=480% --------------equation 2

Use equation 1 in 2

(6-y)(100%)+y(20%)=480%

600-100y+20y=480

600-80y=480

600-480=80y

120=80y

120/80 =y

1.5=y

Use the value of y in equation 1

x=6-y  , x= 6-1.5=4.5

So you have,

1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.

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