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Uncle Porter spent $15 at a book store. He bought science fiction and mystery novels. The science fiction novels cost $9 apiece and the mystery novels cost $2 apiece. If Uncle Porter bought 4 novels, how many of each type did he buy?

 Aug 19, 2021
 #1
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Guess #1: 3 science fiction novels and 1 mystery novel

 

Find the number of books:

 

3 + 1 = 4

 

 

Find the total cost in dollars:

 

(9 × 3) + (2 × 1) = 27 + 2 = 29

 

 

The guess is incorrect. Try another guess.

 

 

Guess #2: 2 science fiction novels and 2 mystery novels

 

Find the number of books:

 

2 + 2 = 4

 

 

Find the total cost in dollars:

 

(9 × 2) + (2 × 2) = 18 + 4 = 22

 

 

The guess is incorrect. Try another guess.

 

 

Guess #3: 1 science fiction novel and 3 mystery novels

 

Find the number of books:

 

1 + 3 = 4

 

 

Find the total cost in dollars:

 

(9 × 1) + (2 × 3) = 9 + 6 = 15

 

 

The guess is correct. Uncle Porter bought 1 science fiction novel and 3 mystery novels.

 Aug 19, 2021
 #2
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Easy

 

Let \(s\) be the number of science fiction, and \(m\) be the number of mystery novels. We can form 2 equations: \(9s + 2m = 15, s + m = 4\). Solving those 2 equations gives \(s = 1, m = 3\)

 

wink

 Aug 19, 2021

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