You manage an ice cream factory that makes two flavors: creamy vanilla and continental mocha. into each quart of creamy vanilla go 2 eggs and 3 cups of cream. into each quart of continental mocha go 1 egg and 3 cups of cream. you have in stock 700 eggs and 1500 cups of cream. how many quarts of each flavor should you make in order to use up all the eggs and cream? hint [see example 5.]

200 Creamy Vanilla

300 Continental Mocha

Step-by-step explanation:

3 cups cream for each:

500 Quarts total

Creamy Vanilla requires 400 eggs

Continental Mocha requres 300 eggs for a total of 700 eggs

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18