Jim bought some potted plants:

Question

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 4 petunias.
Jim bought 4 petunias.

Jim bought 15 begonias.
Jim bought 15 begonias.

Jim bought 15 petunias.
Jim bought 15 petunias.

Jim bought 18 begonias.

Answer 1

Let's denote the number of petunias Jim bought as \( p \) and the number of begonias as \( b \).

We have the following two equations based on the information given:

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

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

We can solve these equations simultaneously. From the first equation, we can express \( b \) in terms of \( p \): \[ b = 19 - p \]

Now, we substitute this expression for \( b \) into the second equation: \[ 11p + 15(19 - p) = 225 \] Expanding this, we get: \[ 11p + 285 - 15p = 225 \] Combining like terms, we have: \[ -4p + 285 = 225 \] Now, subtract 285 from both sides: \[ -4p = 225 - 285 \] \[ -4p = -60 \] Now, divide by -4: \[ p = 15 \]

Now we can find \( b \): \[ b = 19 - p = 19 - 15 = 4 \]

Thus, Jim bought:

• 15 petunias
• 4 begonias

Now, let's look at the response options. The correct statement based on our calculations is:

Jim bought 15 petunias.