Question

Colton has math and reading homework tonight. Colton can solve each math problem in 3 minutes and he can read each page in 1.5 minutes. The number of pages Colton read is twice the number of math problems he solved. and it took him 54 minutes to complete all of his homework. Determine the number of math problems Colton solved and the number of pages he read.

Answer 1

Answer:

12 math problems and 12 pages.

Step-by-step explanation:

Reading=1.5x

Soling math=3x

1.5x+3x=4.5 minutes. Add like terms together.

4.5x=54 minutes. Divide both sides by 4.5 to get x.  So x=12 minutes.

1.5x=18 minutes. 3x=36 minutes

If 1 problem took him 3 minutes,what about 36 minutes??

Now divide 36 by 3. The answer is 12 problems.

If 1 page took 1.5 minutes, what about 18 minutes?? So divide 18 by 1.5 and you will get 12 pages .

Answer 2

Colton solved 9 math problems and read 18 pages.

Since Colton has math and reading homework tonight, and he can solve each math problem in 3 minutes and he can read each page in 1.5 minutes, and the number of pages Colton read is twice the number of math problems he solved, and it took him 54 minutes to complete all of his homework, to determine the number of math problems Colton solved and the number of pages he read, the following calculation must be performed:

• 3X + 2 x 1.5X = 54
• 3X + 3X = 54
• 6X = 54
• X = 54/6
• X = 9  
• 3 x 9 + 1.5 x 9 x 2 = X
• 27 + 27 = X
• 54 = X

Therefore, Colton solved 9 math problems and read 18 pages.

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