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 4 petunias.
Jim bought 4 petunias.
Jim bought 15 begonias.
Jim bought 15 begonias.
Jim bought 15 petunias.
Jim bought 15 petunias.
Jim bought 18 begonias.
Jim bought 18 begonias.
To solve this problem, let's assume Jim bought x petunias and y begonias.
From the given information, we can set up the following equations:
x + y = 19 (Jim bought 19 potted plants in all)
11x + 15y = 225 (Jim spent a total of $225)
Solving this system of equations, we find that x = 4 and y = 15.
Therefore, the correct statement would be: "Jim bought 4 petunias."
To solve this problem, let's assign variables to the number of petunias and begonias that Jim bought. Let's say P represents the number of petunias and B represents the number of begonias.
We are given three pieces of information:
1. Petunias cost $11 per pot and Begonias cost $15 per pot.
2. Jim bought a total of 19 potted plants.
3. Jim spent a total of $225 on the plants.
Since Jim bought a total of 19 potted plants, we can write the equation: P + B = 19.
We also know that Petunias cost $11 per pot and Begonias cost $15 per pot.
The total amount spent by Jim on the plants is $225. Therefore, we can write the equation: 11P + 15B = 225.
To find the correct statement, let's solve these two equations.
From the first equation, we can express P in terms of B: P = 19 - B.
Substituting this expression for P in the second equation, we get: 11(19 - B) + 15B = 225.
Simplifying the equation: 209 - 11B + 15B = 225.
Combining like terms: 4B = 16.
Dividing both sides by 4 gives B = 4.
Now that we have the value of B, we can substitute it back into the equation P = 19 - B to find P.
P = 19 - 4 = 15.
Therefore, the correct statement is "Jim bought 15 petunias."
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To find the correct statement, we need to calculate the number of petunias and begonias that Jim bought.
Let's assume Jim bought x petunias and y begonias.
According to the information given, the cost of each petunia is $11, so the total cost of petunias can be calculated as 11x.
Similarly, the cost of each begonia is $15, so the total cost of begonias can be calculated as 15y.
We also know that Jim bought a total of 19 potted plants, so the sum of petunias and begonias should equal 19:
x + y = 19 ...................(equation 1).
Additionally, the total cost of the plants is given as $225:
11x + 15y = 225 .............(equation 2).
We can solve these equations simultaneously to find the values of x and y.
By using substitution or elimination methods, we find that:
x = 4, y = 15.
Therefore, the correct statement is:
Jim bought 4 petunias.