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 4 petunias.
Jim bought 4 petunias.

Jim bought 15 begonias.
Jim bought 15 begonias.

Jim bought 18 begonias.
Jim bought 18 begonias.

Jim bought 15 petunias.
Jim bought 15 petunias.
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Answer 1

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

From the problem, we have the following equations:

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

2. The total money spent: \[ 11p + 15b = 225 \]

We can solve this system of equations.

First, let's rearrange the first equation to express \( b \) in terms of \( p \): \[ b = 19 - p \]

Now, we can substitute this expression for \( b \) into the second equation: \[ 11p + 15(19 - p) = 225 \]

Expanding this equation gives: \[ 11p + 285 - 15p = 225 \]

Now, combining like terms: \[ -4p + 285 = 225 \]

Subtracting 285 from both sides: \[ -4p = 225 - 285 \] \[ -4p = -60 \]

Dividing both sides by -4: \[ p = 15 \]

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

Thus, Jim bought 15 petunias and 4 begonias.

Now, let's look at the responses:

1. Jim bought 4 petunias. (Incorrect)
2. Jim bought 15 begonias. (Incorrect)
3. Jim bought 18 begonias. (Incorrect)
4. Jim bought 15 petunias. (Correct)

The correct statement is: Jim bought 15 petunias.