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 15 begonias. Jim bought 15 begonias. Jim bought 18 begonias. Jim bought 18 begonias. Jim bought 15 petunias. Jim bought 15 petunias. Jim bought 4 petunias.
Jim bought 15 petunias and 4 begonias.
To solve this problem, let's assume Jim bought x petunias and y begonias.
The cost of each petunia is $11, so the total cost of petunias would be 11x.
Similarly, the cost of each begonia is $15, so the total cost of begonias would be 15y.
From the given information, we know that Jim bought a total of 19 potted plants. So we can write the equation:
x + y = 19
We are also given that Jim spent a total of $225 on the plants. Therefore, we can write another equation:
11x + 15y = 225
To find the value of x and y, we can solve these two equations simultaneously.
By multiplying the first equation by 11, we get:
11x + 11y = 209
Now we can subtract this equation from the second equation:
(11x + 15y) - (11x + 11y) = 225 - 209
4y = 16
y = 4
Substituting the value of y back into the first equation:
x + 4 = 19
x = 15
So Jim bought 15 petunias and 4 begonias.
Therefore, the correct statement is: Jim bought 15 petunias.
To find the correct statement, we need to solve the given problem.
Let's assume Jim bought x petunias and y begonias.
From the problem, we can write two equations:
1) The total number of plants: x + y = 19
2) The total amount spent: 11x + 15y = 225
Now we need to solve these equations to find the values of x and y.
First, let's solve equation 1) for x:
x = 19 - y
Now substitute this value of x in equation 2):
11(19 - y) + 15y = 225
209 - 11y + 15y = 225
4y = 16
y = 4
So, Jim bought 4 begonias.
We can substitute this value of y into equation 1) to find x:
x + 4 = 19
x = 19 - 4
x = 15
So, Jim bought 15 petunias.
Therefore, the correct statement is "Jim bought 15 petunias."