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?

Answer 1

To find a correct statement regarding Jim's purchase of potted plants, we can set up a system of equations based on the information provided.

Let:

• $p$ represent the number of pots of Petunias
• $b$ represent the number of pots of Begonias

From the problem, we have the following two equations:

1. The total number of plants: $$p+b=19$$

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

Now, we can solve this system of equations.

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

Now we can substitute $b$ in the second equation: $$11p+15(19-p)=225$$

Expanding this gives: $$11p+285-15p=225$$

Combining like terms results in: $$-4p+285=225$$

Subtracting 285 from both sides gives: $$-4p=225-285$$ $$-4p=-60$$

Dividing by -4: $$p=15$$

Now substituting $p$ back into the equation for $b$: $$b=19-15=4$$

So, Jim bought 15 pots of Petunias and 4 pots of Begonias.

Now we can check:

• Total number of plants: $15+4=19$ (correct)
• Total cost: $11(15)+15(4)=165+60=225$ (correct)

Therefore, a correct statement based on the above calculations would be:

"Jim bought 15 pots of Petunias and 4 pots of Begonias."