Seven Brownies and three Leaders have baked 35 chocolate cupcakes and eaten them all. One Leader ate one cupcake, another Leader ate two cupcakes, and the third Leader ate three cupcakes. Only whole cupcakes may be eaten. Show that at least one (greedy) Brownie ate at least 5 cupcakes.
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Leaders ate 3+2+1 = 6 cupcakes.
so there are now 35-6=29 cupcakes.
7 brownies mean that if they all eat 4 there is 28 eaten and only 1 left.
That means someone has to eat five.
so there are now 35-6=29 cupcakes.
7 brownies mean that if they all eat 4 there is 28 eaten and only 1 left.
That means someone has to eat five.
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so we add 1 +2+3 cupcakes =6 then add 5 for the greedy brownie= 11
35 - 11= 24 . there are 6 remaining brownies which leaves 4 cupcakes each.
35 - 11= 24 . there are 6 remaining brownies which leaves 4 cupcakes each.