I'll take exactly one side of puns

The Triangular Caf e ˊ \acute{e} serves 4 different main dishes, 3 different sides, and 3 different desserts. The M o ¨ \ddot{o} bius Strip Grill serves 4 different main dishes, 1 side, and 3 different desserts. If a meal consists of 1 main dish, 1 side, and 1 dessert, how many more different meals are possible at the Triangular Caf e ˊ \acute{e} than the M o ¨ \ddot{o} bius Strip Grill?


The answer is 24.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

At the Triangular Cafe:

4 different main dishes, 3 different sides and 3 different desserts

By rule of product , the number of meals is 4 ( 3 ) ( 3 ) = 36 4(3)(3)=36

At the Mobius Strip Grill:

4 different main dishes, 1 side and 3 different desserts

By rule of product , the number of meals is 4 ( 1 ) ( 3 ) = 12 4(1)(3)=12

Finally, the difference is

36 12 = 36-12= 24 m e a l s \boxed{\color{#D61F06}24~meals}

Frodo Baggins
Apr 14, 2017

At both the Triangular Caf e ˊ \acute{e} and the M o ¨ \ddot{o} bius Strip Grill, there are 4 main dishes and 3 desserts. In order to find the total number of possibilities, we multiply, so there are 4 3 = 12 4\cdot 3 = 12 main dish-dessert combinations. The Triangular Caf e ˊ \acute{e} has 2 more sides than the M o ¨ \ddot{o} bius Strip Grill, so the total number of meals is 12 2 = 24 12\cdot2 = 24 greater than that of the M o ¨ \ddot{o} bius Strip Grill. Alternately, we find the number of meals at each restaurant and then subtract. This yields ( 4 3 3 ) ( 4 1 3 ) = 36 12 = 24 (4\cdot 3\cdot 3) - (4\cdot 1\cdot 3) = 36 - 12 = \boxed{24} more meals at the Triangular Caf e ˊ \acute{e} .

P.S. If any of you know how to format the e ˊ \acute{e} or o ¨ \ddot{o} without having to put it into L a T e X LaTeX style, could you please tell me how so it doesn't look weird with the rest of the text? Thanks!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...