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Question

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 15 begonias.
Jim bought 15 begonias.

Jim bought 4 petunias.
Jim bought 4 petunias.

Jim bought 18 begonias.
Jim bought 18 begonias.

Jim bought 15 petunias.

Answer 1

Let's denote the number of petunias Jim bought as \( p \) and the number of begonias as \( b \). We can set up the following system of equations based on the given information:

1. The total number of plants:
   \( p + b = 19 \) (Equation 1)

2. The total cost of the plants:
   \( 11p + 15b = 225 \) (Equation 2)

Now we can solve this system of equations.

From Equation 1, we can express \( b \) in terms of \( p \):

\[ b = 19 - p \]

Now we substitute this expression for \( b \) into Equation 2:

\[ 11p + 15(19 - p) = 225 \]

Distribute the 15:

\[ 11p + 285 - 15p = 225 \]

Combine like terms:

\[ -4p + 285 = 225 \]

Subtract 285 from both sides:

\[ -4p = 225 - 285 \] \[ -4p = -60 \]

Now, divide by -4:

\[ p = 15 \]

Now we can find \( b \) using Equation 1:

\[ b = 19 - p = 19 - 15 = 4 \]

So, Jim bought 15 petunias and 4 begonias.

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