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## The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the a

Question

The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

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Mathematics
3 months
2021-07-29T14:25:25+00:00
2021-07-29T14:25:25+00:00 1 Answers
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## Answers ( )

Answer:

6 7/8 pints

Step-by-step explanation:

The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

From the question, we know that:

7 weeks = 9 5/8 pints

12 weeks = x

Cross Multiply

7x = 12 × 9 5/8

x = 12 × 9 5/8/7

x =( 12 × 77/8 ) ÷ 7

x = 12 × 77/8 × 1/7

x = 12 × 11/8

x = 16 1/2 pints

The change in the amount of water in pints in the barrel in 12 weeks is calculated as:

16 1/2 pints – 9 5/8 pints

Lowest common denominator = 8

7 + (4 – 5/8)

7 + (-1/8)

= 6 7/8 pints