Problema Solution

Sam read 3 times as many pages in his history textbook on Monday night as he read on Tuesday night. Altogether, he read 56 pages. How many pages did Sam read on Monday night?

Answer provided by our tutors

let


x = the number of pages Sam read on Monday night


y = the number of pages Sam read on Tuesday night


Sam read 3 times as many pages in his history textbook on Monday night as he read on Tuesday night:


x = 3y


Altogether, he read 56 pages:


x + y = 56


by solving the system of equations:


x = 3y


x + y = 56


we find:


x = 42 pages


y = 14 pages


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Sam read 42 pages on Monday night.