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One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed togethe

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One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 15L that is 17%

One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 15L that is 17% orange juice?
X=amount of canned juice with 25% of orange juicey=amount of other canned juice with 10% of orange juice.25%=25/100=1/410%=10/100=1/1017%=17/100We can suggest this system of equations:(1)    x+y=15(2)    (x/4+y/10) / (x+y)=17/100  ⇒100(x/4 + y/10)=17(x+y)  ⇒25x+10y=17x+17y  ⇒8x-7y=0Finally, we have this system of equations:x+y=158x-7y=0We can solve this system by substitution method. x+y=15      ⇒    y=15-x8x-7(15-x)=08x-105+7x=015x=105x=105/15x=7y=15-x=15-7=8answer: we should mix 7 liters of juice (with 25% orange juice) and 8 liters of juice (with 10% orange juice).  ...

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