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Leah is having a brunch. She wants to serve her guests 2 gallons of juice that is 75% orange juice and 25% pineapple juice. She has several gallons of 100% orange juice. She also has several gallons of a mixture of 60% orange juice and 40% pineapple juice.

How many gallons of each type of juice should Leah combine to make 2 gallons of a juice mixture that is 75% orange juice and 25% pineapple juice?

Let p represent the number of gallons of 100% orange juice and let m represent the number of gallons of the 60% orange juice-40% pineapple juice mixture.

Which of the below equations can represent one of the equations in the system?

A. 0.6p = 1.5 + m

B. p= 2 + m

C. p + 0.6 = 1.5

Answer :

calculista
She wants to serve --------- >  2 gallons of juice that is 75% orange juice and 25% pineapple juice
then 
2*0.75------------------ > 1.5 gallons of orange juice
2*0.25------------------ > 0.5 gallons of pineapple juice

2 gallons------------ >1.5 gallons of orange juice+ 0.5 gallons of pineapple juice
if 1 gallons pineapple juice mixture--------------------- > 0.40 gallons pineapple juice
X------------------------------------------------------------------- > 0.50 gallons pineapple juice
X=50/40=1.25 gallons juice mixture
1.25 mixture gallons---- > 0.50 gallons pineapple juice+0.75 gallons orange juice
Therefore
(2-1.25)=0.75 gallons of orange juice
2 gallons------------ >0.75 gallons of orange juice+ 1.25 mixture gallons  
0.75*(p)+1.25*(m)=2--------------- > (0.75/1.25)*(p)+(1.25/1.25)*m=2/1.25
0.60p+m=1.6
 The answer is 0.60p+m=1.6



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