Question

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. p = 2 + m

B. 0.6p = 1.5 + m

C. p + 0.6m = 1.5

Answer 1

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