Kendra owns a toy store. She charges $5.00 for two cars and one piece of candy. She charges $3.20 for one car and one piece of candy. How much does Kendra charge per piece of candy?
A. $1.80
B. $3.20
C. $3.60
D. $1.40
2 c + p = 5.00
c + p = 3.20 ... 2 c + 2 p = 6.40
subtracting equations (to eliminate c) ... p = 1.40
Plz help
brainly said it was 1.80
which is correct?
I apologize for the confusion. Upon reviewing the problem, I believe Brainly is incorrect. The correct answer is:
Kendra charges $1.40 per piece of candy.
We can solve this using a system of equations. Let c be the cost of one piece of candy and let x be the cost of one car. Then we have:
2x + c = 5.00
x + c = 3.20
Solving the second equation for x, we get:
x = 3.20 - c
Substituting this into the first equation and solving for c, we get:
2(3.20 - c) + c = 5.00
6.40 - c = 5.00
c = 1.40
Therefore, Kendra charges $1.40 per piece of candy.
To find out how much Kendra charges per piece of candy, we'll need to compare the prices for different combinations provided in the information given.
Let's assume that the price of a car is C and the price of a piece of candy is P.
From the first statement, we know that Kendra charges $5.00 for two cars (2 * C) and one piece of candy (1 * P). So this can be written as 2C + P = $5.00.
From the second statement, we know that Kendra charges $3.20 for one car (1 * C) and one piece of candy (1 * P). So this can be written as C + P = $3.20.
Now, we have a system of two equations:
Equation 1: 2C + P = $5.00
Equation 2: C + P = $3.20
To find the price per piece of candy (P), we can subtract Equation 2 from Equation 1:
2C + P - (C + P) = $5.00 - $3.20
C = $1.80
Now that we have the price of a car (C), we can substitute it back into either Equation 1 or Equation 2 to find the price per piece of candy (P).
Substituting C = $1.80 into Equation 2:
$1.80 + P = $3.20
P = $3.20 - $1.80
P = $1.40
Therefore, the price per piece of candy is $1.40.
So the correct answer is D. $1.40