One canned juice drink is 25% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to to get 20L that is 21% orange juice?

Question

One canned juice drink is 25%  orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to to get 20L that is 21% orange juice?

anonymous · Answer

@Lyrae

paxpolaris · Answer

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paxpolaris · Answer

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paxpolaris · Answer

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paxpolaris · Answer

$$\Large 0.25x+0.05\left( 20-x \right)=0.21\times 20$$

anonymous · Answer

ok, I see what you did. Let me solve it and I will reply with the answer

anonymous · Answer

Ok, I multiplied the entire equation by 100 to get rid of the decimals and when I went that way, I got a final answer of 1600, which doesn't really sound right

paxpolaris · Answer

$$25x+5\left( 20-x \right)=21\times 20$$

is this your equation without decimals?

anonymous · Answer

x=16 is that right? I set my equation up the wrong way and should have gotten 16 instead of 1600

paxpolaris · Answer

yes, 16 liters of the first drink

anonymous · Answer

Ok, thank you so much for your time, I really appreciate it!

paxpolaris · Answer

mixed with 4 liters of the 2nd drink

paxpolaris · Answer

no problem :)