Set-up and solve the following algebraically: A group of 7 students go out f

sodni3

sodni3

Answered question

2021-10-12

Set-up and solve the following algebraically:
A group of 7 students go out for lunch. If two students have hamburgers and five students have hot dogs, the bill will be $18.75. If five students have hamburgers and two students have hot dogs, the bill will be $23.25. What is the price of a hamburger?

Answer & Explanation

SabadisO

SabadisO

Skilled2021-10-13Added 108 answers

Let price of hamburger is $x and price of hotdogs is $y
Then from the problem,
2x+5y=18.75 -----(1)
5x+2y=23.25 -----(2)
(1)×5(2)×2 we get
10x+25y10x4y=5×18.752×23.25
21y=47.25
y=47.2521
y=2.25
From (1), 2x=18.755×2.25
2x=7.5
x=7.52
x=3.75
Price of hamburger is $3.75.

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