Question

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.

Answer 1

Explanation:

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

Let b represent the number of pages she read.

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. This means that she can solve a math problems in a minutes and read b pages in 1.5b minutes.

Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

a + 1.5b = 30

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

a + b = 22