Question

The math team sold 42 hamburger meals and 15 ribs meals at the pep rally for a total of $243. At the game that night, they sold 36 hamburger meals and 30 ribs meals for a total of $294. What is the cost of 1 rib meal?

Answer 1

1 rib meal costs $5.00           hope this helped     :)))))))))))))))))))))))))))))))))))))))

Answer 2

$5.

Explanation:

Let h be the cost of each hamburger meal and r be the cost of each rib meal.

We have been given that the math team math team sold 42 hamburger meals and 15 ribs meals at the pep rally for a total of $243. We can represent this information in an equation as:

`42h+15r=243...(1)`

We are also told that math team also sold 36 hamburger meals and 30 ribs meals for a total of $294. We can represent this information in an equation as:

`36h+30r=294...(2)`

We will use substitution method to solve our system of equations. From equation (1) we will get,

`h=(243-15r)/(42)`

Substituting this value in equation (2) we will get,

`36((243-15r)/(42))+30r=294`

`6((243-15r)/(7))+30r=294`

`(1458-90r)/(7)+30r=294`

Now let us have a common denominator.

`(1458-90r)/(7)+(7*30r)/(7)=294`

`(1458-90r)/(7)+(210r)/(7)=294`

`(1458-90r+210r)/(7)=294`

`(1458+120r)/(7)=294`

`(1458+120r)/(7)* 7=294* 7`

`1458+120r=2058`

`1458-1458+120r=2058-1458`

`120r=600`

`(120r)/(120)=(600)/(120)`

`r=5`

Therefore, the cost of 1 rib meal is $5.