Jim bought some potted plants: Petunias cost $11 per pot and Begonias cost $15 per pot. Jim bought 19 potted plants in all and spent a total of $225 on the plants. Which would be a correct statement? (1 point) Responses Jim bought 18 begonias. Jim bought 18 begonias. Jim bought 15 petunias. Jim bought 15 petunias. Jim bought 4 petunias. Jim bought 4 petunias. Jim bought 15 begonias.
Jim bought 4 petunias.
To find the correct statement, we can set up a system of equations based on the given information.
Let x represent the number of petunias Jim bought.
Let y represent the number of begonias Jim bought.
Based on the given information, we can form two equations:
Equation 1: Jim bought 19 potted plants in all.
x + y = 19
Equation 2: Jim spent a total of $225 on the plants.
11x + 15y = 225
To solve these equations, we can use the method of substitution or elimination. Let's solve using the method of substitution:
From Equation 1:
x = 19 - y
Plugging this into Equation 2:
11(19 - y) + 15y = 225
209 - 11y + 15y = 225
4y = 16
y = 4
Substituting y = 4 back into Equation 1:
x + 4 = 19
x = 15
Therefore, the correct statement is: Jim bought 15 petunias.
To solve this problem, we can use a system of equations. Let's assume Jim bought x petunias and y begonias.
From the given information, we know that Jim bought a total of 19 potted plants. So we have the equation:
x + y = 19 ...(1)
We are also told that Jim spent a total of $225 on the plants. We can set up another equation using the costs of the plants:
11x + 15y = 225 ...(2)
To find the correct statement, we need to solve this system of equations.
One way to solve this system is by substitution or elimination. Let's solve it using substitution.
Solving equation (1) for x, we get:
x = 19 - y
Substituting this value of x into equation (2), we have:
11(19 - y) + 15y = 225
Expanding and simplifying, we get:
209 - 11y + 15y = 225
Combine like terms:
4y = 16
Dividing both sides of the equation by 4, we find:
y = 4
Now that we know the value of y is 4, we can substitute it back into equation (1) to find x:
x + 4 = 19
Subtracting 4 from both sides of the equation, we get:
x = 15
Therefore, Jim bought 15 petunias and 4 begonias.
So, the correct statement would be "Jim bought 15 petunias."