Mila had math and reading homework tonight. mila can solve each math problem in 5 minutes and she can read each page in 2.5 minutes. mila completed a total of 17 math problems and pages of reading in 55 minutes. write a system of equations that could be used to determine the number of math problems mila solved and the number of pages she read. define the variables that you use to write the system.

Step-by-step explanation:

Let's call math problems and reading pages.

"MIla completed a tota of 17 math problem an pages of reading in 55 minutes", this expression can be model as

Which expresses the total number of homework made.

Mila can solve each math problem in 5 minutes, and she can read each page in 2.5 minutes. If all 17 problems took 55 minutes, we can elaborate a second relation about the time

So, we have the following system of equations

To solve this system, we are gonna multiply the first equation by -5 and then sum and solve for

Then, we replace this value in one equation to get the other one

Therefore, Mila solved 5 math problems and read 12 pages in 55 minutes.

step-by-step explanation:

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