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Viefleur [7K]
3 years ago
11

At an airport restaurant, 2 sodas and 4 hamburgers cost $12.00. An order of 4 sodas and 2 hamburgers costs $9.00. How much does

one hamburger cost?
Mathematics
2 answers:
Charra [1.4K]3 years ago
4 0
Let the cost of soda be s.
Let the cost of hamburgers = h

\begin{cases} &2s + 4h = 12 ----- (1) \\&4s + 2h = 9 ----- (2)\end{cases}

Multiply Equation (1) by 2 :
\begin{cases} &4s + 8h = 24 ----- (1)\\&4s + 2h = 9 ----- (2)\end{cases}

Equation (1) - (2):
\begin{aligned} &6h = 15 \\&h = 2.5 \end{aligned}

Answer: 1 hamburger costs $2.50
zhenek [66]3 years ago
3 0
Let's say the sodas are each $1. If you have purchased 4 sodas it will cost $4. You still have $5 left on your bill. If you have 2 hamburgers left on your bill the amount of each hamburger is $2.50.
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