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Question
brooklyn had math and reading homework tonight. brooklyn can solve each math problem in 2 minutes and she can read each page in 3 minutes. the number of math problems brooklyn solved is twice the number of pages she read and it took her 70 minutes to complete all of her homework. write a system of equations that could be used to determine the number of math problems brooklyn solved and the number of pages she read. define the variables that you use to write the system.
Step1: Define variables
Let $m$ = number of math problems solved, $p$ = number of pages read.
Step2: Relate quantities (count)
$m = 2p$
Step3: Relate quantities (time)
$2m + 3p = 70$
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Let $m$ = the number of math problems Brooklyn solved
Let $p$ = the number of pages Brooklyn read
System of Equations:
$m = 2p$
$2m + 3p = 70$