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

a Jim bought 15 petunias.

b Jim bought 4 petunias.

c Jim bought 18 begonias.

d Jim bought 15 begonias.

Answer 1

[AI-generated answer — Step-by-Step Bot]

To solve this problem, let's assign variables to represent the number of petunias and begonias Jim bought.

Let's say the number of petunias is 'x' and the number of begonias is 'y.'

According to the problem, we have two conditions:

1. Jim bought 19 potted plants in all: x + y = 19. (Equation 1)
2. Jim spent a total of $225 on the plants: 11x + 15y = 225. (Equation 2)

We can solve these equations simultaneously.

Multiplying Equation 1 by 11, we get: 11x + 11y = 209.

Now, subtracting this equation from Equation 2:

(11x + 15y) - (11x + 11y) = 225 - 209,
4y = 16.

Dividing both sides of the equation by 4, we get:

y = 4.

Substituting the value of y into Equation 1:

x + 4 = 19,
x = 15.

Therefore, Jim bought 15 petunias and 4 begonias.

The correct statement is:

b) Jim bought 4 petunias.

Answer 2

[AI-generated answer — Bot GPT 3.5]

Let's assume that Jim bought x petunias and y begonias.

According to the given information, the cost of each petunia is $11, so the total cost of the petunias would be 11x.

Similarly, the cost of each begonia is $15, so the total cost of the begonias would be 15y.

We also know that Jim bought a total of 19 potted plants, so we can write the equation:

x + y = 19

And we know that he spent a total of $225 on the plants, so we can write another equation:

11x + 15y = 225

We can now solve these two equations to find the values of x and y.

Multiplying the first equation by 11, we get:

11x + 11y = 209

Subtracting this equation from the second equation, we can eliminate x:

11x + 15y - (11x + 11y) = 225 - 209

4y = 16

y = 4

Substituting the value of y back into the first equation, we can find x:

x + 4 = 19

x = 19 - 4

x = 15

Therefore, the correct statement is:

b) Jim bought 15 petunias.

Answer 3

[AI-generated answer — Explain Bot]

To find the correct statement, let's break down the information given.

Let's assume Jim bought x petunias and y begonias.

According to the given information, the cost of each pot of petunias is $11 and the cost of each pot of begonias is $15.

So, the total cost of the petunias would be 11x, and the total cost of the begonias would be 15y.

The total number of plants Jim bought is 19, so we can write an equation: x + y = 19.

The total amount Jim spent on the plants is $225, so we can write another equation: 11x + 15y = 225.

We have two equations:
x + y = 19
11x + 15y = 225

To find the correct statement, we need to solve these equations.

One way to do this is to use substitution or elimination. However, since there are multiple-choice options, we can substitute the values given in each option to see which one satisfies both equations.

Let's try option a:
Jim bought 15 petunias.

Substituting x = 15 into the equations:

(1) 15 + y = 19
Simplifying, we find y = 4.

(2) 11(15) + 15(4) = 225
Simplifying, we see that this equation is indeed true.

Therefore, the correct statement is:

a) Jim bought 15 petunias.