Question 668291

polly has a reading assignment in two books totaling 172 pages. the number of pages in the second book was 25 more than half of the number of pages in the first book. how many pages did she have to read in each book?


Let the amount of pages of reading assignment in the first book be P


Then the amount of pages of reading assignment in the second book = {{{(1/2)P + 25}}}


Together they total 172 pages, so {{{P + (1/2)P + 25 = 172}}}


2P + P + 50 = 344 ------ Multiplying by LCD, 2 


3P + 50 = 344


3P = 344 - 50


3P = 294


P, or amount of pages of reading assignment in the first book = {{{294/3}}}, or {{{highlight_green(98)}}}


Amount of pages of reading assignment in the second book = 172 - 98, or {{{highlight_green(74)}}}


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