how many hamburgers were sold on saturday ?

Question

a local hamburger shop sold a combined of 489 hamburgers and cheeseburgers on saturday.There were 61 fewer cheeseburgers sold than hamburger

Answer 1

Hello Mery. Let's break the solution to this problem down into steps.

Step 1: Define our unknown variables

let c represent the number of cheeseburgers sold

let h represent the number of hamburgers sold

Step 2: Set up our system of equations

c+h=489 ( represents the total number of burgers sold)

h-61=c (represents the number of cheeseburgers sold)

step 3: Substitute h-61 for c in the first equation and solve for h

h-61+h=489

2h - 61 = 489 (combined like terms)

2h=550 (added 61 to both sides of the equation)

h = 225 (divided by 2 on both sides of the equation)

Step 4: Substitute the value we found for h into the first equation and solve for c

c+h=489

c+225=489

c=264 (subtracted 225 from both sides of the equation)

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