nuala baked 64 cookies for a party. after each party guest ate n cookies, 9 cookies were left uneaten. if there were more than 9 guests at the party, and if n is an integer greater than 1, what is the value of n?

Answer :

Let the number of guests be x, then nx + 9 = 64
nx = 64 - 9 = 55

Factors of 55 are 11, 5 and 55, 1

Since there were more than 9 guests at the party, and n is an integer greater than 1, then n = 5 and x = 11.

n = 5

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