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Aloiza [94]
3 years ago
10

One canned juice drink is 20% orange juice, another is 5% orange juice, how many liters of each should be mixed together in orde

r to get 15 L that is 16% orange juice
Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

11 L of 20% juice and 4 L of 5% juice

Step-by-step explanation:

Let

x L = amount of 20% juice

y L = amount of 5% juice

<u>20% juice:</u>

Amount = x L

Amount of juice =0.2x L

<u>5% juice:</u>

Amount = y L

Amount of juice =0.05y L

<u>16% juice:</u>

Amount = 15 L

Amount of juice =0.16\cdot 15=2.4 L

We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so

x+y=15

and

0.2x+0.05y=2.4

From the first equation:

x=15-y

Substitute it into the second equation:

0.2(15-y)+0.05y=2.4\\ \\20(15-y)+5y=240\\ \\300-20y+5y=240\\ \\-20y+5y=240-300\\ \\-15y=-60\\ \\15y=60\\ \\y=4\ L\\ \\x=15-4=11\ L

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