Please assist with the following and show me how you came to

Please assist with the following and show me how you came to that answer.

At a company ball game, nachos cost $4, and hot dogs cost $6. If the company spent $120 at the game, and bought 25 items, how many nachos and hot dogs did they buy?

Thank you.

Solution

Given that,

Cost of Nachos= $4

Cost of Hot Dogs= $6

Total items bought = 25

Laets assume that x number of nachos and y number of hot dogs were bought.

Thus, x + y = 25 ------ equation (a)

Now also given that total no. of money spent was $120.

Thus, 4x + 6y = 120

=> 2x + 3y = 60 -------- equation (b)

Now multiplying equation (a) by 2 and substracting it from equation (b)

2x + 3y - 2x - 2y = 60 - 50

y = 10 Total no. of Hot Dogs were bought.

putting value of y in equation (a)

x = 15 Total no. of Nachos were bought.