SOLUTION: A group of friends went out for lunch. 2 people ordered soup. 4 people ordered sandwiches. Each sandwich costs twice as much as a bowl of soup. 4 people ordered burgers. Each burge

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A group of friends went out for lunch. 2 people ordered soup. 4 people ordered sandwiches. Each sandwich costs twice as much as a bowl of soup. 4 people ordered burgers. Each burge      Log On


   

Question 1204236: A group of friends went out for lunch. 2 people ordered soup. 4 people ordered sandwiches. Each sandwich costs twice as much as a bowl of soup. 4 people ordered burgers. Each burger costs three times as much as a bowl of soup. The total cost for their lunch was less than ​$59.62. What was the price of a bowl of​ soup?
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = cost of one soup
2x = cost of one sandwich
3x = cost of one burger

2 people ordered soup ---> cost = 2x
4 people ordered sandwiches ---> cost = 4*2x = 8x
4 people ordered burgers ---> cost = 4*3x = 12x

total cost = 2x+8x+12x = 22x
The total cost is less than $59.62
22x < 59.62
x < 59.62/22
x < 2.71

The exact price of one soup is unknown, but it's somewhere in the interval 0 < x < 2.71