Michelle bought some potted plants.
Petunias cost $7 per pot.
Begonias cost $8 per pot.
She bought 22 potted plants and spent a total of $163. How many petunias did she buy?
Responses
7
7
9
9
11
11
14
14
13
13
Well, it seems like Michelle really had a "potty" situation on her hands. But fear not, I have a clever solution for you!
Let's assume Michelle bought a total of P petunias and B begonias. From the given information, we know that P + B = 22 (since she bought a total of 22 potted plants).
Now, since each petunia costs $7 and each begonia costs $8, we can form an equation for the total cost. It would be 7P + 8B = 163 (since she spent a total of $163).
Now, let's do some math (don't worry, I won't clown around too much). If we multiply the first equation by 7, we get 7P + 7B = 154. Subtracting this equation from the second equation, we have:
(7P + 8B) - (7P + 7B) = 163 - 154
B = 9
So, Michelle bought 9 begonias. But wait, we still need to find out how many petunias she bought. Substituting this value of B into the first equation, we get:
P + 9 = 22
P = 13
Voila! Michelle bought 13 petunias.
So, the answer is 13, my friend. Happy planting!
To find the number of petunias Michelle bought, we can use the information given in the problem. Let's denote the number of petunias as "x" and the number of begonias as "y".
We know that the cost of a petunia is $7, so the total cost of petunias (in dollars) is 7x.
Similarly, the cost of a begonia is $8, so the total cost of begonias (in dollars) is 8y.
The total number of potted plants Michelle bought is 22. So, we can write the equation:
x + y = 22 ...(1)
Also, the total amount she spent is $163. Therefore, another equation we can write is:
7x + 8y = 163 ...(2)
We have a system of two equations (1) and (2) that we can solve simultaneously. To do this, let's solve equation (1) for y:
y = 22 - x
Now, substitute this value of y into equation (2):
7x + 8(22 - x) = 163
Now, simplify and solve for x:
7x + 176 - 8x = 163
- x = 163 - 176
- x = -13
To get rid of the negative sign, multiply both sides of the equation by -1:
x = 13
Therefore, Michelle bought 13 petunias.
So the correct answer is 13.
To find the number of petunias Michelle bought, we can use a system of equations. Let's assume she bought x petunias and y begonias.
According to the information given, each petunia pot costs $7, so the cost of petunias would be 7x dollars. Similarly, the cost of begonias would be 8y dollars.
We also know that the total number of potted plants she bought is 22, so x + y = 22.
Furthermore, we know that the total cost of all the plants she bought is $163, so 7x + 8y = 163.
We can now solve this system of equations to find the values of x and y.
Using the substitution method, we can solve for x in terms of y by isolating it from the first equation:
x = 22 - y
Substituting this value of x in the second equation, we get:
7(22 - y) + 8y = 163
Expanding and simplifying the equation:
154 - 7y + 8y = 163
Rearranging terms:
y - 7 = 163 - 154
Simplifying further:
y = 9
Now that we know that y (the number of begonias) is 9, we can substitute this value into the first equation to find x:
x + 9 = 22
x = 22 - 9
x = 13
Therefore, Michelle bought 13 petunias.