Question

on tuesday, a local hamburger shop sold a combined total of 456 hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on tuesday?

Explanation:

Step1: Define variables

Let \( h \) be the number of hamburgers sold, and the number of cheeseburgers sold is \( 3h \) (since it's three times the number of hamburgers).

Step2: Set up equation

The total number of hamburgers and cheeseburgers is \( h + 3h = 456 \). Combining like terms, we get \( 4h = 456 \).

Step3: Solve for \( h \)

Divide both sides of the equation by 4: \( h=\frac{456}{4}=114 \).

Answer:

114