A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $947 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $683 plus $5 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How many diners promised to participate? How much would each restaurant donate?

Question

Nikhil Bauer

Mathematics

16 September, 17:42

A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $947 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $683 plus $5 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How many diners promised to participate? How much would each restaurant donate?

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Answers (1)

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Trinity Warren · Answer 1

66 Diners promised to participate

1,013 is what each restaurant would donate

947 + x = 683 + 5x

-683 - 683

264 + x = 5x

- x - x

264 = 4x

Divide 264 by 4 = 66