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
