Tom and Joan have 125 books. Tom and Sammie have 305 books. If Sammie has 3 times as many books as Joan, how many books does Tom have?
Solution
Sam ----- 3 units
Joan ----- 1 unit
Tom + Joan (1 unit) ---- 125
Tom + Sammie (3 units) ----- 305
“Tom and Sammie” has more books than “Tom and Joan”
305 books – 125 books = 180 books.
The 180 extra books are due to the 2 extra units “Tom and Sammie” have, as compared to “Tom and Joan”. Therefore,
2 units ----- 180
1 unit ----- 180 divided by 2 = 90
Tom + Joan (1 unit) ---- 125
Tom + 90 ----- 125
Tom ----- 125 – 90 = 35
Answer: Tom has 35 books.
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