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.

1 answer

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.
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