SOLUTION: Silvia wants to mix 40% apple juice drink with pure apple juice to make 2 L of a juice drink that is 80% apple juice. How much pure apple juice should she use? Express answer as a
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Question 1126635: Silvia wants to mix 40% apple juice drink with pure apple juice to make 2 L of a juice drink that is 80% apple juice. How much pure apple juice should she use? Express answer as a mixed number or fraction in simplest terms, if necessary. Answer by ikleyn(52787) (Show Source):
Let x be "How much pure apple juice should she use", in liters.
Then the volume of the 40% juice to mix is (2-x) liters.
Then your concentration equation is
= 0.8,
saying that the ratio of the pure apple juice to the total volume of 2 liters is 0.8 = 80%.
Solve it step by step:
0.4*(2-x) + x = 0.8*2
0.8 - 0.4x + x = 1.6
0.6x = 1.6 - 0.8
0.6x = 0.8 ====> x = = = = liters ANSWERCheck. = 0.8. ! Exactly correct !
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