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The nurse was aghast. He knew that G gallons of milk would feed S infants for 11 days, but he had S + 14 infants to feed. How many days would K gallons of milk last?
I'M ASSUMING THE K SHOULD BE A G ?????????????????
Let x=number of days G gallons of milk will last
S infants consume G gallons of milk in 11 days
1 infant consumes G/S gallons of milk in 11 days
1 infant consumes G/(11S) gallons of milk per day
(S+14) infants consume (G(S+14))/11S gallons of milk per day; or
In x days, (S+14) infants consume (Gx(S+14))/11S gallons of milk
Now when this is equal to G, then the milk is gone, so:
(Gx(S+14))/11S =G multiply both sides by 11S
x(G(s+14))=11GS divide both sides by G(S+14)
x=11GS/G(S+14)=11S/(S+14)-----------number of days the milk will last when feeding s+14 infants
Hope this helps------ptaylor