Mr. P received the following coupons in the mail from Arby's:
He may only use one coupon per visit.
Mr. P wishes to purchase two sandwiches (either Classic Roast Beef Sandwich, Classic French Dip & Swiss Sandwich, or Classic Beef 'n Cheddar Sandwich).
He also wants a small mint chocolate shake.
So, he has decided that he will use one of the following four coupons:
Here are regular prices for each of the items that Mr. P is considering:
Classic Roast Beef Sandwich $3.29
Classic French Dip & Swiss Sandwich $4.49
Classic Beef 'n Cheddar Sandwich $3.99
Small Mint chocolate shake $2.99
In order to get any two sandwiches and the small mint chocolate shake,
(1) Which coupon should be used if Mr. P wants to minimize the amount that he spends?
(2) Which coupon should be used and which two sandwiches should he get if he wants to maximize the amount of money that he saves (compared to
regular prices for those same three items)?
Solution to the Problem:
(1) Use the Free small mint shake coupon.It will cost you $6.58 for two Classic Roast Beef Sandwiches and the shake ($3.29 +$3.29 + 0) = $6.58)
(2) You should also use the Free shake coupon.
You will save $2.99 no matter which sandwiches you choose.
Here is a look at the possibilities:
| Coupon | Cost | Savings |
|---|---|---|
| Roast Beef | $6.99 | $2.58 |
| French Dip | $8.99 | $2.98 |
| Beef n Cheddar | $7.99 | $2.98 |
| Sm Mint Shake | $6.58 | $2.99 |
Correctly solved by:
| 1. Colin (Yowie) Bowey | Beechworth, Victoria, Australia |
| 2. James Alarie | Flint, Michigan |