SOLUTION: Fifteen children’s books cost $51.25. Some were priced at $2.25 each, and the rest of the books were sold at $4.75 each. How many books were purchased at each price?
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Question 1192460: Fifteen children’s books cost $51.25. Some were priced at $2.25 each, and the rest of the books were sold at $4.75 each. How many books were purchased at each price? Answer by ikleyn(52781) (Show Source):
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Fifteen children’s books cost $51.25. Some were priced at $2.25 each,
and the rest of the books were sold at $4.75 each.
How many books were purchased at each price?
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x books at the price $4.75 each and
(15-x) books at the price of $2.25 each.
Write the total money equation
4.75x + 2.25*(15-x) = 51.25 dollars.
Simplify and find x
4.75x + 2.25*15 - 2.25x = 51.25
4.75x - 2.25x = 51.25 - 2.25*15
2.50x = 17.50
x = 17.50/2.50 = 7.
ANSWER. 7 books at $4.75 each, and the rest 15-7 = 8 books at $2.25 each.
CHECK total money: 7*4.75 + 8*2.25 = 51.25 dollars. ! Correct !
