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19 June, 20:44

A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Tuesday. There were 50 fewer cheeseburgers sold than hamburgers.

How many hamburgers were sold on Tuesday?

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  1. 19 June, 21:54
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    Answer: 275

    Step-by-step explanation:

    Let the total number of hamburger be x and the total number of cheeseburgers be y. That is

    x + y = 500 ... equation 1

    Since there were 50 fewer cheeseburgers sold than hamburgers, this means that the number of hamburgers sold is more than cheeseburgers by 50, that is

    x - y = 50 ... equation 2

    solving the resulting linear equation by substitution method;

    From equation 2, make x the subject of the formula, that is

    x = 50 + y ... equation 3

    substitute equation 3 into equation 1, we have

    50 + y + y = 500

    50 + 2y = 500

    2y = 500 - 50

    2y = 450

    y = 450/2

    y = 225

    substitute y = 225 into equation 3 to find the value of x. we have

    x = 50 + y

    x = 50 + 225

    x = 275

    Therefore 275 hamburgers were sold
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