SOLUTION: Four hamburgers and three orders of french fries cost $5.15. Three hamburgers and five orders of fries cost $5.10. What would one hamburger and one order of fries cost?

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Question 114226This question is from textbook
: Four hamburgers and three orders of french fries cost $5.15. Three hamburgers and five orders of fries cost $5.10. What would one hamburger and one order of fries cost? This question is from textbook

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's let H=cost of hamburger and F=cost of fries.
1.4H%2B3F=5.15
2.3H%2B5F=5.10
Let me use equation 1 to solve for H in terms of F and then substitute into equation 2.
1.4H%2B3F=5.15
4H=5.15-3F
H=1.2875-0.75F
Now substitute into 2.
2.3H%2B5F=5.10
3%281.2875-0.75F%29%2B5F=5.10
3%281.2875%29-3%280.75F%29%2B5F=5.10
3.8625-2.25F%2B5F=5.10
3.8625%2B2.75F=5.10
2.75F=1.2375
F=0.45
Now that you have F, you can substitute into either equation to find H.
2.3H%2B5F=5.10
3H%2B5%280.45%29=5.10
3H%2B2.25=5.10
3H=2.85
H=0.95
Hamburgers cost $0.95 and french fries cost $0.45.
One hamburger and one order of fries would cost $1.40.