On Tuesday, a local hamburger shop sold a combined total of 564 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Tuesday?

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Answer 1 · 2015-09-08T01:58:36

I found: #141# hamburgers and #423# cheeseburgers.

Call #h# and #c# the number of the two items. You get:
#{(h+c=564),(c=3h):}#

substitute the second into the first:
#h+3h=564#
#4h=564#
#h=564/4=141# hamburgers
use this back into the second equation:

#c=3*141=423# cheeseburgers.