Question

A store sells 48 count packages of Snickers candy bars for $27.50 per package, and 36 count packages of KitKat bars for $21.50 per package. Mrs. Sweettooth bought total of 204 Snickers and KitKat bars in the store and paid $119.50. How many of each candy bars did she buy?

Answer 1

To find out how many Snickers and KitKat bars Mrs. Sweettooth bought, we can solve a system of equations using the count and cost information.

Step-by-step explanation:

Let's assume that Mrs. Sweettooth bought x packages of Snickers and y packages of KitKat bars.

From the given information, we can set up two equations:

1. 48x + 36y = 204 (equation 1) - representing the total count of candy bars
2. 27.50x + 21.50y = 119.50 (equation 2) - representing the total cost of the candy bars

To solve this system of equations, we can use a method called substitution:

1. Rearrange equation 1 to solve for x: x = (204 - 36y)/48
2. Substitute the value of x in equation 2: 27.50[(204 - 36y)/48] + 21.50y = 119.50
3. Simplify and solve for y
4. Once y is found, substitute its value back into equation 1 to find the value of x

By solving this system of equations, we can determine the number of Snickers and KitKat bars that Mrs. Sweettooth bought.

Answer 2

First we must define variables:
x: number of Snickers candy bars
y: number of KitKat bars
We write the system of equations:
27.50x + 21.50y = 119.50
48x + 36y = 204
Solving the system we have:
x = 2 packages
y = 3 packages
Answer:
she did buy:
2 packages of Snickers candy bars
3 packages of KitKat bars