Bills Roast Beef sells 9 times as many sandwiches as Petes D

Bill\'s Roast Beef sells 9 times as many sandwiches as Pete\'s Deli. The difference between their sales is 488 sandwiches. How many sandwiches did each sell?

Solution

Let the number of sandwiches sold by Pete\'s Deli be x

Then the number of sandwiches sold by Bill/s Roast Beef will be 9x

Difference between their sales = 488 sandwiches

Hence the equation becomes

9x - x = 488

8x = 488

x = 61

Hence the number of sandwiches sold by Pete = x = 61

Number of sandwiches sold by Bill = 9x = 9 * 61 = 549