Jim bought some potted plants: %0D%0A%0D%0APetunias cost $11 per pot and Begonias cost $15 per pot.%0D%0A%0D%0AJim bought 19 potted plants in all and spent a total of $225 on the plants.%0D%0A%0D%0AWhich would be a correct statement?
A. Jim bought 4 petunias.
B. Jim bought 15 begpnias
C. Jim bought 18 begonias
D. Jim bought 15 petunias
To solve this problem, we can set up a system of equations.
Let's say Jim bought x petunias and y begonias.
From the information given, we know that the total number of potted plants Jim bought is 19, so: x + y = 19.
We also know that the total amount Jim spent is $225, so: 11x + 15y = 225.
To solve this system of equations, we can use substitution or elimination. Let's use elimination:
Multiply the first equation by 11 to make the coefficients of x in both equations the same:
11x + 11y = 209.
Now, subtract this new equation from the second equation:
(11x + 15y) - (11x + 11y) = 225 - 209
4y = 16
y = 4.
Substitute this value of y back into the first equation:
x + 4 = 19
x = 15.
Therefore, Jim bought 15 petunias and 4 begonias.
So, the correct statement is:
D. Jim bought 15 petunias.
To solve this problem, we can set up a system of equations. Let's define:
P = number of petunias purchased
B = number of begonias purchased
Based on the given information, we can create two equations:
Equation 1: P + B = 19 (Jim bought 19 potted plants in total)
Equation 2: 11P + 15B = 225 (Jim spent a total of $225 on the plants)
Now, let's solve this system of equations to find the values of P and B.
We can start by using Equation 1 to solve for P:
P + B = 19
P = 19 - B
Substituting this value of P into Equation 2, we get:
11(19 - B) + 15B = 225
209 - 11B + 15B = 225
4B = 16
B = 4
Now that we know B = 4, we can substitute this value back into Equation 1 to find P:
P + 4 = 19
P = 19 - 4
P = 15
So, Jim bought 15 petunias and 4 begonias.
Therefore, the correct statement would be:
A. Jim bought 15 petunias.
To determine which statement is correct, we can set up a system of equations based on the information given.
Let's assume:
x = number of petunias bought
y = number of begonias bought
From the given information, we know:
1. Petunias cost $11 per pot
2. Begonias cost $15 per pot
3. Jim bought 19 potted plants in total.
We can set up the following system of equations:
x + y = 19 (since Jim bought 19 potted plants)
11x + 15y = 225 (since Jim spent a total of $225 on the plants)
We can solve this system of equations to find the values of x and y.
Using a method like substitution or elimination, we can solve the first equation for x:
x = 19 - y
Substituting this expression for x in the second equation, we get:
11(19 - y) + 15y = 225
209 - 11y + 15y = 225
4y = 16
y = 4
So, Jim bought 4 begonias.
To find the number of petunias, substitute the value of y back into the first equation:
x + 4 = 19
x = 15
Therefore, Jim bought 15 petunias.
Now, we can determine which statement is correct:
A. Jim bought 4 petunias. (False)
B. Jim bought 15 begonias. (True)
C. Jim bought 18 begonias. (False)
D. Jim bought 15 petunias. (True)
So, the correct statement is that Jim bought 15 begonias (option B) and 15 petunias (option D).