On tuesday, a local hamburger shop sold a combined total of 282 hamburgers and cheeseburgers. the number of cheeseburgers sold was two times the number of hamburgers sold. how many hamburgers were sold on tuesday?

First,
make an equation system that represents the problem
eg. h stands for the number of hamburgers, c stands for the number of cheeseburgers.

An equation for "a combined total of 282 hamburgers and cheeseburgers" is
⇒ h + c = 282  (first equation)

An equation for "The number of cheeseburgers sold was two times the number of hamburgers sold" is
⇒ c = 2h  (second equation)

Second,
solve the equation system by subtitution method. Subtitute c with 2h from the second equation to the first equation
h + c = 228
h + 2h = 228
3h = 228
h = 228/3
h = 76

Answer
The number of hamburgers sold is 76

X= number of hamburgers 2x= number of cheeseburgers because they are 2 times as many hamburgers. x+2x=228 3x=228 Divide both sides by 3. x=76= number of hamburgers. Check work: 76+152=228 228=228 Hope this helps!! :)

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