It takes Tim 5 hours to make a vase, and it takes him 9 hours to

make a teapot. If it took him 162 hours to make a total of 22 vases

and pots, how many of each did he make?

O A. 11 vases and 11 teapots

O B. 12 vases and 10 teapots

C. 10 vases and 12 teapots

O D. 9 vases and 13 teapots

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.