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?

Question

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?

Jim bought 4 petunias
Jim bought 18 begonias
Jim bought 15 petunias
Jim bought 15 begonias

Answer 1

None of the statements are correct.

Answer 2

To determine the correct statement, we can set up a system of equations to represent the given information.

Let P represent the number of petunias purchased, and let B represent the number of begonias purchased.

From the given information, we can set up the following equations:

1) P + B = 19 (Since Jim bought a total of 19 potted plants)
2) 11P + 15B = 225 (Since Jim spent a total of $225 on the plants)

Now we can solve the system of equations to find the values of P and B.

From equation 1, we can solve for P in terms of B:
P = 19 - B

Substituting this value into equation 2, we get:
11(19 - B) + 15B = 225

Expanding and simplifying the equation:
209 - 11B + 15B = 225
209 + 4B = 225
4B = 16
B = 4

Now substitute the value of B back into equation 1 to find P:
P + 4 = 19
P = 19 - 4
P = 15

So, the correct statement would be:
Jim bought 15 petunias.

Answer 3

To find the number of each type of potted plant Jim bought, we can set up a system of equations based on the given information.

Let's assume Jim bought "x" petunias and "y" begonias.

From the given information, we know that:
1) The cost of each petunia is $11, so the total cost of petunias would be 11x.
2) Similarly, the cost of each begonia is $15, so the total cost of begonias would be 15y.

We are also given that Jim bought 19 potted plants in total, so:
3) The total number of potted plants would be x + y = 19.

We are also told that Jim spent a total of $225 on the plants:
4) The total cost would be 11x + 15y = 225.

Now we have a system of two equations:
x + y = 19
11x + 15y = 225

To solve this system, we can use any method such as substitution or elimination. Let's solve it by elimination:

Multiplying equation 1 by 11, we get:
11x + 11y = 209

Subtracting this from equation 2, we have:
(11x + 15y) - (11x + 11y) = 225 - 209
4y = 16
y = 4

Substituting this value of y in equation 1:
x + 4 = 19
x = 15

So, Jim bought 15 petunias and 4 begonias.

Therefore, the correct statement is: Jim bought 15 petunias.