Question

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?
Pete's sold sandwiches?
Bill's sold sandwiches?

Answer 1

Okay, so let's call B = the number of sandwiches Bill sells
and P = the number of sandwiches Pete sells
Since Bill sells 7 times as many sandwiches as Pete, then
B = 7P

And the difference between their sales is 414 sandwiches. Since we know that Bill sells more than Pete, then
B - P = 414
So, now we can substitute for B from the equation above B = 7P

B - P = 414
7P - P = 414
6P = 414
P = 69
Therefore, Pete sells 69 sandwiches
Bill sells 7 x 69 = 483 sandwiches