Silvana S.

asked • 01/30/17

word problem

A third grade class is making their own fruit punch for an after-school party. They want the punch to use 4% cherry juice and 8% white grape juice. How many gallons of each should be used to get a fruit punch that is 5% juice and containing a total of 2 gallons? Use c for cherry juice and g for the white grape juice.
 
(1) Set up a linear system of linear equations that models the situations. Use c for cherry juice and g for the white grape juice. (Convert any percents to decimals.)
 
(a)Equation 1
...................(A third grade class is making a total of 2 gallons of fruit punch.)
(b)Equation 2
................(They want the punch to use 4% cherry juice and 8% white grape juice. How many gallons of each should be used to get a fruit punch that is 5% juice and containing a total of 2 gallons?)

(2) Solve the system using substitution or elimination and write your answer to the problem in a complete sentence.
The class should use ............gallons of cherry juice and ..............gallons of grape juice

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