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alex41 [277]
3 years ago
10

Find how many quarts of 6?% butterfat milk and 3?% butterfat milk should be mixed to yield 30 quarts of 5?% butterfat milk

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:

The 20  quarts are used for 6% butterfat milk and 10 quarts are used for  3% butterfat milk .

Step-by-step explanation:

As given

6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .

Let us assume that x quarts are used for 6% butterfat milk .

Than (30 - x) quarts are used for 3% butterfat milk .

6% is written in the decimal form

= \frac{6}{100}

= 0.06

3% is written in the decimal form

= \frac{3}{100}

= 0.03

5% is written in the decimal form

= \frac{5}{100}

= 0.05

Than the equation becomes

0.06 × x + (30 - x) × 0.03 = 30 × 0.05

0.06x + 0.9 - 0.03x = 1.5

0.06x  - 0.03x = 1.5 - 0.9

0.03x  = 0.6

x = \frac{0.6}{0.03}

x = 20 quarts for 6% butterfat milk  .

(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk  .

Than 20  quarts are used for 6% butterfat milk and 10 quarts are used for  3% butterfat milk .




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