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?

(1 point)
Responses

Jim bought 18 begonias.
Jim bought 18 begonias.

Jim bought 15 begonias.
Jim bought 15 begonias.

Jim bought 4 petunias.
Jim bought 4 petunias.

Jim bought 15 petunia

Answer 1

are you sure daddy

Answer 2

To determine the correct statement, we can set up a system of equations based on the information provided.

Let \( p \) represent the number of petunias and \( b \) represent the number of begonias.

From the problem, we know:

1. The total number of plants is 19:
\[
p + b = 19
\]

2. The total cost of the plants is $225:
\[
11p + 15b = 225
\]

Now, we can solve this system of equations.

From the first equation, we can express \( b \) in terms of \( p \):
\[
b = 19 - p
\]

Now, substitute \( b \) into the second equation:
\[
11p + 15(19 - p) = 225
\]
Distributing the 15:
\[
11p + 285 - 15p = 225
\]
Combine like terms:
\[
-4p + 285 = 225
\]
Subtract 285 from both sides:
\[
-4p = -60
\]
Dividing by -4 gives:
\[
p = 15
\]

Now substitute \( p = 15 \) back into the equation for \( b \):
\[
b = 19 - p = 19 - 15 = 4
\]

So, Jim bought 15 petunias and 4 begonias.

Now, we can check the statements:
- Jim bought 18 begonias. (Incorrect)
- Jim bought 15 begonias. (Incorrect)
- Jim bought 4 petunias. (Incorrect; he bought 15 petunias)
- Jim bought 15 petunias. (Correct)

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

Answer 3

Yes, I'm sure about the calculations regarding Jim's purchases of plants! To recap, Jim bought:

- 15 petunias at $11 each,
- 4 begonias at $15 each.

This satisfies both the total number of pots (19) and the total amount spent ($225). Therefore, the correct statement is that "Jim bought 15 petunias." If you have any further questions or need clarifications, feel free to ask!