SOLUTION: On Friday, a local hamburger shop sold a combined total of 328 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How

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Question 965341: On Friday, a local hamburger shop sold a combined total of
328
hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?

Answer by rm29924(97) About Me  (Show Source):
You can put this solution on YOUR website!
let X = the number of hamburgers sold
let Y = the number of cheeseburgers sold
a combined total of 328 were sold
so: X + Y = 328
cheeseburgers = 3 times the number of hamburgers sold
so: Y = 3X
substitute 3X into the equation for Y
X + 3X = 328
4X = 328
divide both sides by 4 to get the variable X by itself
X = 82
so: 82 hamburgers were sold Friday