Question

Susan bought some potted plants. Petunias cost $7 per pot and begonias cost $8 per pot. She bought 22 potted plants and spent a total of $163. How many petunias did Susan buy?

Answer 1

Answer: she bought 13 petunias

Step-by-step explanation:

Let x represent the number of Petunias pot of flowers that she bought.

Let y represent the number of begonias pot of flowers that she bought.

She bought 22 potted plants. This means that

x + y = 22

Petunias cost $7 per pot and begonias cost $8 per pot. She spent a total of $163. This means that

7x + 8y = 163 - - - - - - - - - - - -1

Substituting x = 22 - y into equation 1, it becomes

7(22 - y) + 8y = 163

154 - 7y + 8y = 163

- 7y + 8y = 163 - 154

y = 9

x = 22 - y = 22 - 9

x = 13