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)
• Jim bought 15 begonias.
O Jim bought 4 petunias.
O Jim bought 15 petunias.
• Jim bought 18 begonias.
Jim bought 4 petunias.
To determine the correct statement, we can set up a system of equations. Let's assume Jim bought x petunias and y begonias.
From the given information, we know:
Petunias cost $11 per pot, so the total cost of petunias would be 11x.
Begonias cost $15 per pot, so the total cost of begonias would be 15y.
Jim bought 19 potted plants in total, so x + y = 19.
Jim spent a total of $225, so 11x + 15y = 225.
Now we can solve this system of equations to find the values of x and y:
From the equation x + y = 19, we can express x in terms of y: x = 19 - y.
Substituting this expression into the second equation, we get:
11(19 - y) + 15y = 225.
Expanding the equation, we have:
209 - 11y + 15y = 225.
Combine like terms: 4y = 16.
Divide both sides by 4: y = 4.
Substituting the value of y back into the first equation, we have:
x + 4 = 19, which means x = 15.
Therefore, the correct statement is:
• Jim bought 15 petunias.
To find out which statement is correct, let's set up a system of equations based on the given information.
Let's assume Jim bought x petunias and y begonias.
According to the given information, Jim bought a total of 19 potted plants, so we have the equation:
x + y = 19 (equation 1)
Jim spent a total of $225 on the plants, so the equation representing the cost is:
11x + 15y = 225 (equation 2)
We can solve this system of equations to find the values of x and y.
Multiplying equation 1 by 11, we get:
11x + 11y = 209 (equation 3)
Subtracting equation 3 from equation 2, we have:
11x + 15y - (11x + 11y) = 225 - 209
This simplifies to:
15y - 11y = 16
Combining like terms, we have:
4y = 16
Dividing both sides by 4, we find:
y = 4
Now substitute the value of y into equation 1:
x + 4 = 19
Subtracting 4 from both sides:
x = 19 - 4
x = 15
Therefore, the correct statement is:
• Jim bought 15 petunias.