Question

HELP PLEASE!!! 28 POINTS!! 1)A professional pianist spends an average of 45 hours practicing the piano in a three-week period. Using this ratio how many hours does he practice in three months? Set up a proportion, defining a variable for the unknown quantity, solve the proportion, showing all work leading to your answer, and write a sentence to explain the meaning of the answer for the situation.

2) A popular fishing lake contains a combination of largemouth bass and catfish with a ratio of bass to catfish of 10 to 7. If there are 425 bass in the lake, about how many catfish are there? set up a proportion, defining a variable for the unknown quantity, solve the proportion, showing all work leading to your answer, and write a sentence to explain the meaning of the answer for the situation.

Answer 1

Part 1)
`180\ hours`

Part 2) There are about
`298\ catfish`

Explanation:

Part 1) we know that

1 month=4 weeks

Let

x------> the number of hours of practice for three months

so

Convert months to weeks

3 months=3(4)=12 weeks

using proportion

`(45)/(3)(hours)/(weeks) =(x)/(12)(hours)/(weeks)\\ \\ x=45*12/3\\ \\x=180\ hours`

that means------> In three months (12 weeks) the pianist practice 180 hours

Part 2)

Let

x------> the number of bass

y------> the number of catfish

we know that

Using proportion

`(10)/(7)(bass)/(catfish) =(425)/(y)(bass)/(catfish) \\ \\y=425*7/10\\ \\y=297.5\ catfish`

There are about
`298\ catfish`