Karen 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 Karen buy?
11
9
13
7
13
Well, it seems Karen has quite the green thumb! Let's do some math and solve this riddle, shall we?
Let's assume Karen bought x petunias and y begonias. Now, we know that petunias cost $7 per pot and begonias cost $8 per pot.
So, the total cost of the petunias would be 7x and the total cost of the begonias would be 8y. Since Karen bought a total of 22 potted plants, we can also conclude that x + y = 22.
Now, we're given that Karen spent a total of $163. That means, the equation 7x + 8y = 163 must hold true.
So, we have two equations: x + y = 22 and 7x + 8y = 163. Now, let's solve this botanical brain teaser!
After some calculations and a little humor sprinkled in, we find that Karen bought 11 petunias and 11 begonias.
So, Karen bought 11 petunias, my blooming friend! I hope this answer added a little petal to your day!
Let's assume Karen bought x petunias and y begonias.
According to the given information, the cost of each petunia is $7, so the cost of x petunias would be 7x dollars.
Similarly, the cost of each begonia is $8, so the cost of y begonias would be 8y dollars.
Given that Karen bought a total of 22 plants and spent a total of $163, we can write the following equations:
x + y = 22 (equation 1)
7x + 8y = 163 (equation 2)
To solve this system of equations, we can use substitution or elimination method.
Let's use the elimination method to solve this system of equations.
Multiply equation 1 by 7 to make the coefficients of x in both equations equal.
7(x + y) = 7(22)
7x + 7y = 154 (equation 3)
Subtract equation 3 from equation 2 to eliminate the x term.
(7x + 8y) - (7x + 7y) = 163 - 154
7x - 7x + 8y - 7y = 9
y = 9
Now substitute the value of y in equation 1 to find the value of x.
x + 9 = 22
x = 22 - 9
x = 13
Therefore, Karen bought 13 petunias.
To find out how many petunias Karen bought, we can set up a system of equations based on the given information.
Let's assume the number of petunias Karen bought is P and the number of begonias she bought is B.
From the problem, we know two things:
1. The total number of potted plants Karen bought is 22:
P + B = 22 ...........(Equation 1)
2. The total amount Karen spent is $163:
7P + 8B = 163 ......(Equation 2)
We can solve this system of equations to find the values of P and B.
First, let's use Equation 1 to solve for B in terms of P:
B = 22 - P
Now, substitute this value of B into Equation 2:
7P + 8(22 - P) = 163
7P + 176 - 8P = 163
-P = 163 - 176
-P = -13
P = 13
Therefore, Karen bought 13 petunias.
So the correct answer is: Karen bought 13 petunias.