Question

Nana is running a concession stand at the basketball game. She sells hot dogs for $2 and sodas for $1. At the end of the night, she made $200. Let x represent the number of hot dogs sold and y represent the number of sodas sold. If she sold 80 sodas,

a. x=60,y=80
b. x=70,y=80
c x=80,y=60
d. x=80,y=70

Answer 1

To solve the problem, set up a system of linear equations using the sales of hot dogs and sodas. Substitute the given value of y into the equation and solve for x to find the correct answer.

Step-by-step explanation:

To solve this problem, we can set up a system of linear equations representing the sales of hot dogs and sodas:

x = number of hot dogs sold

y = number of sodas sold

The total amount of money Nana made can be expressed as the sum of the money made from selling hot dogs and the money made from selling sodas:

2x + 1y = 200

Since we know that y (the number of sodas sold) is 80, we can substitute this value into the equation:

2x + 80 = 200

2x = 200 - 80

2x = 120

x = 60

Therefore, the correct answer is:

a) x = 60, y = 80