Dexter was asked to mix the punch for his sister’s birthday party. He has to figure out how much water and pure concentrate to a dd. How many liters of pure concentrate should be added to 10 liters of 20% concentrate to make a 50% concentrate punch?
1 answer:
Answer:
6 liters
Step-by-step explanation:
Let x represent the amount of pure concentrate used to make the punch. Then the total amount of concentrate in the punch is ...
0.20·10 +1.00x = 0.50(10+x)
x +2 = 0.5x +5 . . . . . eliminate parentheses
0.5x = 3 . . . . . . . . . . .subtract 2+0.5x
x = 6 . . . . . . . . . . . . . multiply by 2
6 liters of pure concentrate must be added to make a 50% punch .
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