Adrian decides to order post mates . If he chooses McDonalds, the delivery fee is $5 and each burger costs $1.50. For Burger King, there is no delivery fee but each burger costs $2.50. If the total cost of the two options are the same, how many hamburgers did he buy? Use a system of equations to solve the problem .

Respuesta :

Adrian bought 5 burgers.

Step-by-step explanation:

Given,

Deliver fee of McDonald's = $5

Cost of each burger = $1.50

Let,

x be the number of burgers ordered.

y be the total amount

y = 1.50x+5     Eqn 1

Cost of each burger at burger king = $2.50

y = 2.50x        Eqn 2

Putting value of y from Eqn 2 in Eqn 1

[tex]2.50x=1.50x+5\\2.50x-1.50x=5\\1x=5\\x=5[/tex]

Adrian bought 5 burgers.

Keywords: linear equation, substitution method

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