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 15 petunias.
Jim bought 18 begonias.
Jim bought 18 begonias.
Jim bought 15 begonias.
Jim bought 15 begonias.
Jim bought 4 petunias
Jim bought 4 petunias.
To find the correct statement, let's solve the problem step by step.
Let's say Jim bought x petunias and y begonias.
1. The cost of each petunia is $11, so the total cost of petunias would be 11x.
2. The cost of each begonia is $15, so the total cost of begonias would be 15y.
Now, we know that Jim bought 19 potted plants in total and spent a total of $225 on the plants.
So, we can write the following equations:
x + y = 19 (equation 1)
11x + 15y = 225 (equation 2)
We need to find the values of x and y that satisfy these equations.
To solve this system of equations, we can use either substitution or elimination. Let's use elimination:
Multiply equation 1 by 11:
11x + 11y = 209 (equation 3)
Now, subtract equation 3 from equation 2:
11x + 15y - (11x + 11y) = 225 - 209
4y = 16
y = 4
Substitute the value of y into equation 1:
x + 4 = 19
x = 15
So, the correct statement is:
Jim bought 15 petunias.
To find the solution to this problem, we can set up a system of equations using the given information.
Let's say Jim bought x petunias and y begonias. We know that petunias cost $11 per pot and begonias cost $15 per pot.
So, the total cost of the petunias is 11x, and the total cost of the begonias is 15y.
We also know that Jim bought a total of 19 potted plants and spent a total of $225 on the plants.
Therefore, we can write the following equations:
x + y = 19 (equation 1, representing the total number of potted plants)
11x + 15y = 225 (equation 2, representing the total cost of the plants)
Now, let's solve this system of equations to find the values of x and y.
First, let's solve equation 1 for x: x = 19 - y
Now, substitute this value of x into equation 2:
11(19 - y) + 15y = 225
Simplifying this equation yields:
209 - 11y + 15y = 225
Combine like terms:
4y = 16
Divide both sides by 4:
y = 4
Now substitute the value of y back into equation 1 to find x:
x = 19 - 4 = 15
Finally, we have found that Jim bought 15 petunias and 4 begonias.
So, the correct statement is that Jim bought 15 petunias.