Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Question

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 $219 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $163 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?

This one really looks hard and confusing. Would you please take a look at this and tell me how to do this pls. Thank you

Answer 1

219+x = 163+5y

if x=y

then

219+x = 163+5x

5x-x=4x = 219-163 = 56

x = 56/4 = 14 diners at each restaurant

219+14 = $233

163 +5(14) = 163+70=$233