Question

A local hamburger shop sold a combined total of 512 hamburgers and cheeseburgers on Saturday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

Answers

  2. Number of hamburgers sold on Saturday is 225
    Finding Unknown quantity using Linear equation
    To find an unknown quantity, first make a linear equation according to the relation given in the problem and solve obtained equations for the required quantity.
    Here we have,
    Total number of hamburgers and cheeseburgers sold on Saturday = 512
    The Number of cheeseburgers is 62 more than that of hamburgers  
    Let x and y be the number of cheeseburgers and hamburgers
    As we know number of cheeseburgers is 62 more than that of hamburgers  
    => x = y + 62 —-(1)
    And total number of burgers sold = 512
    => x + y = 512 —-(2)
    Substitute (1) in (2)
    => y + 62 + y= 512
    => 2y = 512 – 62
    => 2y = 450
    =>  y = 450/2
    =>  y = 225  
    Number of hamburgers sold on Saturday is 225
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