Karen bought some potted plants.
Petunias cost $7 per pot.
Begonias cost $8 per pot.
She bought 22 potted plants and spent a total of $163. How many petunias did Karen buy?
Responses
13
11
7
9
9
x − y = −1
x−3y=−13
How could you check to see if the point (5, 6) is the solution to the Linear System of equations?
Responses
Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.
Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.
Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true.
Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true.
Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true.
Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true.
Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true.
Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.
To find out how many petunias Karen bought, we need to set up an equation based on the given information. Let's assume Karen bought x petunias.
The cost of each petunia is $7. So, the total cost of the petunias Karen bought is 7x dollars.
Now, we know that Karen also bought begonias, which cost $8 per pot. So, the number of begonias Karen bought would be 22 (total number of pots) minus x (number of petunias).
The cost of each begonia is $8. So, the total cost of the begonias Karen bought is 8 multiplied by (22 - x).
We are also given that the total cost of all the potted plants Karen bought is $163.
Putting all this information together, we can form the equation:
7x + 8(22 - x) = 163
Now, we solve this equation to find the value of x, which represents the number of petunias Karen bought.
7x + 176 - 8x = 163
-x + 176 = 163
-x = 163 - 176
-x = -13
x = 13
Therefore, Karen bought 13 petunias.
So, the correct response is: 13.