Jim bought some potted plants: %0D%0A%0D%0APetunias cost $11 per pot and Begonias cost $15 per pot.%0D%0A%0D%0AJim bought 19 potted plants in all and spent a total of $225 on the plants.%0D%0A%0D%0AWhich would be a correct statement?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AJim bought 15 begonias.%0D%0AJim bought 15 begonias.%0D%0A%0D%0AJim bought 18 begonias.%0D%0AJim bought 18 begonias.%0D%0A%0D%0AJim bought 4 petunias.%0D%0AJim bought 4 petunias.%0D%0A%0D%0AJim bought 15 petunias.
Jim bought 15 begonias.
To find the correct statement, we can use the given information.
Let's assume Jim bought x begonias and (19-x) petunias.
According to the information, Begonias cost $15 per pot and Petunias cost $11 per pot.
So, the total cost of the Begonias would be 15x, and the total cost of the Petunias would be 11(19-x).
The sum of the two costs equals $225, as mentioned.
Therefore, we can set up the equation:
15x + 11(19-x) = 225
Solving this equation will give us the value of x, which represents the number of begonias Jim bought.
15x + 209 - 11x = 225
4x + 209 = 225
4x = 225 - 209
4x = 16
x = 16/4
x = 4
Therefore, Jim bought 4 begonias.
Now, substituting this value back into the expression for the number of petunias:
19 - x = 19 - 4 = 15
So, Jim bought 15 petunias.
Therefore, the correct statement is:
Jim bought 4 petunias.
To find the correct statement, we need to determine the number of Petunias and Begonias that Jim bought.
Let's assume Jim bought x Petunias and y Begonias.
We know the following information:
Petunias cost $11 per pot, so the cost of x Petunias is 11x dollars.
Begonias cost $15 per pot, so the cost of y Begonias is 15y dollars.
Jim bought a total of 19 potted plants in all, so the sum of Petunias and Begonias is x + y = 19.
Jim spent a total of $225 on the plants, so the cost of Petunias and Begonias is 11x + 15y = 225.
We can now solve these two equations simultaneously to find the values of x and y.
To solve these equations, we can use substitution or elimination method.
Let's solve using the substitution method:
From the first equation, we can express x in terms of y as x = 19 - y.
Substituting this value of x into the second equation, we get:
11(19 - y) + 15y = 225
Simplifying the equation:
209 - 11y + 15y = 225
4y = 16
y = 4
Now substitute the value of y = 4 back into the first equation to find x:
x = 19 - y
x = 19 - 4
x = 15
Therefore, Jim bought 15 Petunias and 4 Begonias.
So the correct statement would be: Jim bought 15 Petunias.