92.4k views
5 votes
At the movies, two people buy snacks for their friends. The first person buys three boxes of candy and five drinks for $15.00. The second person buys two boxes of candy and seven drinks for $15.50. How much does a box of candy and a drink cost?

User MiladiuM
by
8.8k points

1 Answer

5 votes

Final answer:

A box of candy and a drink cost $1.95 and $1.83, respectively.

Step-by-step explanation:

Let's solve this problem using a system of equations. Let's assume that the cost of a box of candy is x dollars and the cost of a drink is y dollars.

From the information given:

  • First person: 3x + 5y = 15
  • Second person: 2x + 7y = 15.50

We can solve this system of equations by elimination or substitution. Let's use substitution:

From the first equation, we can solve for x:

x = (15 - 5y) / 3

Substituting this value of x in the second equation:

2((15 - 5y) / 3) + 7y = 15.50

Simplifying this equation, we get:

10 - 10y + 7y = 15.50

-3y = 5.50

y = -5.50 / -3

y = 1.83

Substituting this value of y back into the first equation, we can solve for x:

3x + 5(1.83) = 15

3x + 9.15 = 15

3x = 5.85

x = 5.85 / 3

x = 1.95

Therefore, a box of candy and a drink cost $1.95 and $1.83, respectively.

User Tokunbo
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories