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?
A. Jim bought 18 begonias
B. Jim bough 15 petunias
C. Jim bought 4 petunias
D. Jim bough 15 begonias
To find the correct statement, we need to set up a system of equations. Let's say Jim bought x petunias and y begonias.
From the given information, we know that:
1) The total number of potted plants Jim bought is 19: x + y = 19
2) The total amount Jim spent on the plants is $225: 11x + 15y = 225
We can solve this system of equations using substitution or elimination.
Let's use elimination. Multiply the first equation by 11 (to get an equal coefficient for x) and subtract it from the second equation:
11x + 15y = 225
-11x - 11y = -209 (11 * (x + y) = 11 * 19)
This gives us:
4y = 16
Dividing both sides by 4, we find:
y = 4
Now we can substitute this value back into the first equation to solve for x:
x + 4 = 19
x = 19 - 4
x = 15
Therefore, the correct statement is:
B. Jim bought 15 petunias