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?

Question

laronjaxon · Answer

$1
 







$4
 







$5
 







$3

shane_b · Answer

Write out the two equations and solve for x and y:
$$42x+15y=243$$$$36x+30y=294$$Do you know how to solve this?

laronjaxon · Answer

no :o

shane_b · Answer

Ok...do you at least understand how those 2 equations were created from the problem?

laronjaxon · Answer

yes i do :o

shane_b · Answer

Great.  Now take one of them and solve it in terms of either x or y.  Let's take the bottom one:$$x=\frac{294-30y}{36}$$With me so far?

laronjaxon · Answer

yess

anonymous · Answer

Let x = Hamburger meals
Let y = Ribs meals

$$42x+15y=243$$
$$36x+30y=294$$

Multiply the first equation by 2, thus obtaining:
$$84x+30y=486$$
$$36x+30y=294$$

Subtract second equation from first equation, obtaining single equation:
$$48x=192$$
$$x=4$$

Since we are looking for the value of y, substitute x into one of the equation:
$$42(4)+15y=243$$
$$168+15y=243$$
$$15y=75$$
$$y=5$$
OR
$$36(4)+30y=294$$
$$144+30y=294$$
$$30y=150$$
$$y=5$$

Cost of hamburger meal: $4
Cost of ribs meal: $5

laronjaxon · Answer

Thank u!  :o!

shane_b · Answer

He did it a different way than I would have but the answer is still correct.  If want I'll continue explaining my way but if not that's fine too :)