SOLUTION: On Tuesday, a local hamburger shop sold a combined total of 352 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. Ho

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: On Tuesday, a local hamburger shop sold a combined total of 352 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. Ho      Log On

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Question 1084582: On Tuesday, a local hamburger shop sold a combined total of
352
hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Tuesday?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of hamburgers
Let +y+ = number of cheeseburgers
-------------------------------------
(1) +x+%2B+y+=+352+
(2) +y+=+3x+
---------------------
Substitute (2) into (1)
(1) +x+%2B+3x+=+352+
(1) +4x+=+352+
(1) +x+=+88+
and
(2) +y+=+3x+
(2) +y+=+3%2A88+
(2) +y+=+264+
-------------------
88 hamburgers were sold
--------------------------
check:
(1) +x+%2B+y+=+352+
(1) +88+%2B+264+=+352+
(1) +352+=+352+
OK