Macy bought a total of 12 fiction and non-fiction books. The fiction books cost $12 each and the non-fiction books cost $25 each. If she paid $248 altogether, how many of each kind of book did she purchase?
Answers
Macy purchased 4 fictional books and 8 non-fictional books.
Step-by-step explanation:
Macy bought a total of 12 fiction and non-fiction books.
Let the no. of fiction books be denoted as “x” and the no. of non-fiction books be denoted as “y”.
∴ x + y = 12
⇒ x = (12 – y) ……. (i)
The cost of each fiction books = $12
The cost of each non-fiction books = $25
Macy altogether paid $248 for both fictional and non-fictional books.
Therefore, we can write the eq. as,
12x + 25y = 248
⇒ 12(12 - y) + 25y = 248 ……. [substituting from (i)]
⇒ 144 – 12y + 25y = 248
⇒ 144 + 13y = 248
⇒ 13y = 248 – 144
⇒ y = 104/13
⇒ y = 8 ← the no. of non-fictional books
∴ x = 12 – y = 12 – 8 = 4 ← the no. of fictional books
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