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?

Jim bought 15 petunias
Jim bought 4 petunias
Jim bought 15 begonias
Jim bought 18 begonias

1 answer

Let p be the number of petunias and b be the number of begonias. We can set up the following system of 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

Now, we can solve these equations step by step.

From the first equation, we can express b in terms of p: b=19p

Next, we substitute this expression for b into the second equation: 11p+15(19p)=225

Now, distribute the 15: 11p+28515p=225

Combine like terms: 4p+285=225

Now, subtract 285 from both sides: 4p=225285 4p=60

Divide by -4: p=15

Now that we have p, we can find b: b=19p=1915=4

So, Jim bought 15 petunias and 4 begonias.

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

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