Question 765254: 4) Natalie has a brand of peanut oil, which has 30% oil. Stephanie has a brand of olive oil, which has 70% oil. Natalie and Stephanie combined their oils and made 1 5/12 quarts of a new oil called nutlive oil. if the nutlive oil contains 51 3/17% oil, how many quarts of olive oil did they use?
1) Michael works at EdHelper Juice company which makes fruit juice. The company's most popular fruit juice contains 11% of real fruit juice and 89% of non-fruit juice. How much of non-fruit juice should be added to 11 liters of fruit juice to make the popular fruit juice?
4) Jacob has three liters of 80% acid. How much acid should he add to make a solution that is 85% acid?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 4) Natalie has a brand of peanut oil, which has 30% oil.
Stephanie has a brand of olive oil, which has 70% oil.
Natalie and Stephanie combined their oils and made 1 5/12 quarts of a new oil called nutlive oil.
if the nutlive oil contains 51 3/17% oil, how many quarts
of olive oil did they use?
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51 3/17% = 0.5118
Equation:
oil + oil = oil
0.30x + 0.70(17/12) = 0.5118(x+ 1.4167)
Multiply thru by 10,000 to get:
3000x + 9916.9 = 5118x + 7251
2118x = 2665.9
x = 1.2587 quarts (# of quarts of olive oil needed)
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1) Michael works at EdHelper Juice company which makes fruit juice. The company's most popular fruit juice contains 11% of real fruit juice and 89% of non-fruit juice. How much of non-fruit juice should be added to 11 liters of fruit juice to make the popular fruit juice?
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fruit + fruit = fruit
1*11 + 0*x = 0.11(11+x)
Multiply thru by 100 to get:
100*11 + 0 = 11*11 + 11x
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11x = 89*11
x = 89 liters (amt. of non-fruit to add)
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4) Jacob has three liters of 80% acid. How much acid should he add to make a solution that is 85% acid?
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acid + acid = acid
0.80*3 + 1.00x = 0.85(3+x)
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80*3 + 100x = 85*3 + 85x
15x = 5*3
x = 1 liter (amt. of pure acid to add)
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Cheers,
Stan H.
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