Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. Write a system of equations that could be used to determine the number of math problems Olivia solved and the number of pages she read. Define the variables that you use to write the system

The system of equations obtained from the given information are x + y = 22 and x + 1.5y = 30 respectively.

Given data:

Time taken by Olivia to solve a problem is 1 minute.

Time to read one page is 1.5 minutes.

Number of problems completed is, 22 problems.

Total time used for reading is, 39 minutes.

Use the data to consider:

Let x be the the number of math problems that Olivia solved.

Let y be the number of pages that Olivia read.

As, Olivia completed a total of 22 math problems and pages of reading. This means that

x + y = 22 (1)

Also, Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

x + 1.5y = 30 (2)

Thus, we can conclude the the system of equations obtained from the given information are x + y = 22 and x + 1.5y = 30 respectively.

Learn more about the system of linear equations here:

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the system of equations are

x + y = 22

x + 1.5y = 30

Step-by-step explanation:

Let x represent the number of math problems that Olivia solved.

Let y represent the number of pages that Olivia read.

Olivia completed a total of 22 math problems and pages of reading. This means that

x + y = 22- - - - - - - - - - - - - - -1

Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

x + 1.5y = 30 - -- - - - - - - - - -2

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9