Employees of an office ordered lunch from a local store, One day the order was for 4 hamburgers and 3 orders of fries, a total cost of $24. Another day, the order was for 6 hamburgers and l order of fries, for a total cost of $29. Set up equation and solve by elimination or substitution.

My equations are : 4h +3f=24 and 6h+1f+29 is this correct?

Employees of an office ordered lunch from a local store, One day the order was for 4 hamburgers and 3 orders of fries, a total cost of $24. Another day, the order was for 6 hamburgers and l order of fries, for a total cost of $29. Set up equation and solve by elimination or substitution.

My equations are : 4h +3f=24 and 6h+1f+29 is this correct?
No. Almost correct. It is : 4h +3f=24 (1) and 6h+1f = 29 (2)

Additional
Solution for f :
(1) all parts times 3 :
(2) all parts times 2 :
(1) 12h + 9f = 72
(2) 12h + 2f = 58
-------------------- -
--- 00h + 7f = 14
7f = 14 --> 1f = 14/7 --> 1f = 2

And solution for h :
4h + 3f = 24
4h + 6 = 24
4h = 24 - 6 = 18
1h = 18/4 = 4,50 --> 1h = 4,50

My equations are : 4h +3f=24 and 6h+1f+29 is this correct?


The first equation is right but the second one should be : 6h+1f=29 because 29 is the total cost. Solving them simultaneously through elimination can be done like this:

4h + 3f = 24
6h + 1f = 29

-4h - 3f = -24
18h + 3f = 87

- 4h + 18h = -24 + 87

14h = 63
h = 63/14 = 4.5

4(4.5) +3f = 24
f = (24-18)/3 = 6/3 = 2

h = 4.5, f = 2

You'll see that using substitution will give you the same answer. If you want to do it through substitution, this is how to do it:

4h + 3f = 24
6h + f = 29

f = 29 - 6h

4h + 3(29-6h) = 24
4h + 87 - 18h = 24

And we are left with the same single equation we saw before in the elimination method. Solving completely will get you the same answer.

Employees of an office ordered lunch from a local store, One day the order was for 4 hamburgers and 3 orders of fries, a total cost of $24. Another day, the order was for 6 hamburgers and l order of fries, for a total cost of $29. Set up equation and solve by elimination or substitution.

My equations are : 4h +3f=24 and 6h+1f+29 is this correct?
A reaction to an answer is always much appreciated, even if it does not solve your specific problem...
:)