Question

During a basketball game, a concession stand only cells nachos and hotdogs. Nachos are sold for $2.50 and hot dogs are sold for $2.00. The concession stand made $336 and sold 144 items. How many nachos were sold? How many hotdogs were sold?

Answer 1

Answer:the number of nachos that were sold is 96

the number of hot dogs that were sold is 48

Step-by-step explanation:

Let x represent the number of nachos that were sold at the stand.

Let y represent the number of hot dogs that were sold at the stand.

Nachos are sold for $2.50 and hot dogs are sold for $2.00. The concession stand made $336. This means that

2.5x + 2y = 336 - - - - - - - - - -1

A total of 144 items were sold. This means that

x + y = 144

Substituting x = 144 - y into equation 1, it becomes

2.5(144 - y) + 2y = 336

360 - 2.5y + 2y = 336

- 2.5y + 2y = 336 - 360

- 0.5y = - 24

y = - 24/ - 0.5 = 48

Substituting y = 48 into x = 144 - y, it becomes

x = 144 - 48 = 96