Kory bought 2 boxes of candy and 1 soda at the movies and paid $8.00. Christopher bought 1 box of candy and 1 soda and paid $5.50. How much does 1 box of candy cost? How much does 1 soda cost? Answer with justification:

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Wed Mar 23 2022

let the cost of candy be x

and, cost of soda be y

Then, according to question:

2x + y = 8 ………(1)

x + y = 5.50 ………(2)

Now, using elimination method:

Subtracting equation 2 from equation 1, we get

2x + y - (x+y) = 8 - 5.50

2x + y - x - y = 2.50

x = 2.50

Now, putting value of x in equation 2, we get

2.50 + y = 5.50

y = 5.50 - 2.50

y = 3

Thus, cost of box and soda is $2.50 and $ 3 respectively.

We can justify our solution by putting values of x and y in equation 1

2(2.50) + 3 = 8

5.0 + 3 = 8

8 = 8

Since, LHS and RHS are equal, we can say our solution is correct.