Uncle Ian spent $59 at a book store. He bought science fiction and mystery novels. The science fiction novels cost $7 apiece and
the mystery novels cost $9 apiece. If uncle Ian bought 7 novels, how many of each type did he buy?
1 answer:
Answer:
2 science fiction and 5 mystery
Step-by-step explanation:
First, we will set up a system of equations.
x (science fiction) y (mystery)
x + y = 7 This is the total books bought.
7x + 9y = 59 The amount of each set to the total cost.
Now we solve.
(-7)x + y = 7 equals
-7x - 7y = -49
added to
7x + 9y = 59
this equals
2y = 10
y = 5
Now we know one. We can plug it in to find the other value.
x + 5 = 7
x = 2
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