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Sonji went to a sandwich shop for lunch with 8 of her friends. Part of the group ordered only a sandwich for $5, and the rest of the group ordered a combo for $8. The bill for all 9 people totaled $66.00. Which system of equations represents the number of meals of each type that Sonji and her friends purchased?

Respuesta :

Setor9
Let s represent the number of people who ordered sandwich
Let c represent the number of people who ordered combo
c+s=9
8c+5s=66

Answer:

5x + 8y = 66, x + y = 9

Step-by-step explanation:

Let x be the number of persons who ordered only a sandwich for $ 5

and y be the number of persons who ordered a combo for $ 8.

Given,

The total persons = Sonji + His 8 friends = 9,

Thus, x + y = 9

And, the total bill = Bill of x persons + Bill of y persons

= 5x + 8y

According to the question,

Total bill = $ 66,

⇒ 5x + 8y = 66

Hence, the system of equations that shows the the number of meals of each type that Sonji and her friends purchased is,

5x + 8y = 66, x + y = 9

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