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Mars2501 [29]
3 years ago
14

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?
Mathematics
2 answers:
Katen [24]3 years ago
7 0

Answer:

$5.

Step-by-step 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=\frac{243-15r}{42}

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

36(\frac{243-15r}{42})+30r=294

6(\frac{243-15r}{7})+30r=294

\frac{1458-90r}{7}+30r=294

Now let us have a common denominator.

\frac{1458-90r}{7}+\frac{7*30r}{7}=294

\frac{1458-90r}{7}+\frac{210r}{7}=294

\frac{1458-90r+210r}{7}=294

\frac{1458+120r}{7}=294

\frac{1458+120r}{7}\times 7=294\times 7

1458+120r=2058

1458-1458+120r=2058-1458

120r=600

\frac{120r}{120}=\frac{600}{120}

r=5

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

katrin [286]3 years ago
4 0
1 rib meal costs $5.00           hope this helped     :)))))))))))))))))))))))))))))))))))))))
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