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 18 begonias.
Jim bought 18 begonias.
Jim bought 15 begonias.
Jim bought 15 begonias.
Jim bought 4 petunias.
Jim bought 4 petunias.
Jim bought 15 petunias.
Jim bought 15 petunias.
Are you sure about that???
I apologize, I made a mistake. Let me recalculate.
Let's assume Jim bought x petunias and y begonias.
From the given information, we can form the following equations:
x + y = 19 (total number of potted plants)
11x + 15y = 225 (total cost of the plants)
To solve these equations, we can multiply the first equation by 11 and subtract it from the second equation:
11x + 11y = 209
11x + 15y = 225
-11x - 11y = -209
11x + 15y = 225
4y = 16
y = 4
Substituting this value back into the first equation:
x + 4 = 19
x = 15
Therefore, Jim bought 15 petunias and 4 begonias.
The correct statement is:
Jim bought 4 begonias.
To find the correct statement, we need to analyze the given information and solve the problem step by step.
Let's assume Jim bought x petunias and y begonias.
According to the problem:
1. Each petunia costs $11, so the total cost of the petunias would be 11x dollars.
2. Each begonia costs $15, so the total cost of the begonias would be 15y dollars.
3. Jim bought a total of 19 potted plants, so the total number of plants is x + y = 19.
4. Jim spent a total of $225 on the plants, so the total cost is 11x + 15y = 225.
Now we have a system of two equations:
x + y = 19
11x + 15y = 225
We can solve this system of 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 get:
(11x + 15y) - (11x + 11y) = 225 - 209
15y - 11y = 16
4y = 16
y = 4
Now we know that Jim bought 4 begonias (y = 4). Plugging this back into the first equation, we get:
x + 4 = 19
x = 19 - 4
x = 15
So, Jim bought 15 petunias (x = 15).
Therefore, the correct statement is: Jim bought 15 petunias.