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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

3 answers

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.

are you sure daddy

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!