JOMO 6, Short 4

Adi likes to eat Pizza, he has 6 different Pizza bases , 7 flavours and 8 different toppings.

But his doctor told him to avoid 1 of the pizza bases, 2 flavours and 1 type of topping, because it might be allergic for him. Then the ratio of Pizzas he can't eat to the Pizzas he can eat can be expressed as a b \dfrac{a}{b} where g c d ( a , b ) = 1 gcd(a,b)=1 find a + b a+b


The answer is 48.

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1 solution

Lakshaya Bangur
Jul 22, 2014

total eatable pizzas = 5 5 7 = 175. total non eatable pizzas = total pizzas - eatable pizzas= 6 7 8 - 175 = 161. hence the ratio = 161/175 = 23/25. answer = 23+25 = 48.

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