roses cost 11$ per pot. sunflowers cost 15$ per pot
Jim bought 19 potted plants and spent a total of $225
which would be a correct statement
A. Jim bot 15 roses
B. Jim bot 15 sunflowers
C.jim bought 4 roses
D. Jim bought 18 sunflowers
Let's assume that Jim bought r roses and s sunflowers.
From the given information, we can form two equations:
1) r + s = 19 (Jim bought 19 potted plants in total)
2) 11r + 15s = 225 (Jim spent a total of $225)
Now, let's solve the equations:
From equation 1, we can express r in terms of s:
r = 19 - s
Substituting this value of r into equation 2:
11(19 - s) + 15s = 225
209 - 11s + 15s = 225
4s = 16
s = 4
Now that we know that Jim bought 4 sunflowers (s = 4), we can find the value of r:
r = 19 - s
r = 19 - 4
r = 15
Therefore, Jim bought 15 roses and 4 sunflowers.
The correct statement is C. Jim bought 15 roses.
To solve this problem, we can use a system of equations. Let's define the variables:
Let "x" be the number of roses purchased by Jim.
Let "y" be the number of sunflowers purchased by Jim.
Based on the given information, we can create two equations:
1. The total number of potted plants bought by Jim:
x + y = 19
2. The total amount Jim spent on potted plants:
11x + 15y = 225
Now we can solve these equations to find the values of "x" and "y":
From equation 1, we can rewrite it as:
x = 19 - y
Substituting this expression for x in equation 2:
11(19 - y) + 15y = 225
209 - 11y + 15y = 225
4y = 225 - 209
4y = 16
y = 4
We have found that Jim bought 4 sunflowers.
Now, to determine the number of roses that Jim bought, we can substitute this value of "y" back into equation 1:
x + 4 = 19
x = 19 - 4
x = 15
Therefore, Jim bought 15 roses and 4 sunflowers.
The correct statement is:
A. Jim bought 15 roses.
In order to find out which statement is correct, we can set up a system of equations based on the given information.
Let's assume that Jim bought x roses and y sunflowers.
Based on the given information, we can establish two equations:
1. The total number of potted plants bought: x + y = 19
2. The total amount spent: 11x + 15y = 225
Now, let's solve this system of equations to find the values of x and y.
We can start by multiplying the first equation by 11 to eliminate x.
11(x + y) = 11(19)
11x + 11y = 209
Next, we can subtract this equation from the second equation to eliminate x.
11x + 15y - (11x + 11y) = 225 - 209
4y = 16
y = 4
Now, substitute the value of y into the first equation to find the value of x.
x + 4 = 19
x = 15
Therefore, the correct statement would be:
C. Jim bought 15 roses