Answer:
D. 9 vases and 13 teapots
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=22 (1)
5x+9y=162 (2)
x=number of vases
y= number of teapots
First, you have to isolate x in (1):
x=22-y (3)
Then, you have to replace (3) in (2) and isolate "y":
5(22-y)+9y=162
110-5y+9y=162
110+4y=162
4y=162-110
y=52/4
y=13
Now, you can replace the value of y in (3):
x=22-y
x=22-13
x=9
According to this, the answer is that Tim made 9 vases and 13 teapots.
