SOLUTION: Jeremiah Calhoun's 36-gallon tropical fish tank contains three types of carnivorous creatures (baby sharks, piranhas, and squids) and he feeds them three types of food: goldfish, a

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Question 1115922: Jeremiah Calhoun's 36-gallon tropical fish tank contains three types of carnivorous creatures (baby sharks, piranhas, and squids) and he feeds them three types of food: goldfish, angelfish, and butterfly fish. Each baby shark can eat 1 goldfish, 2 angelfish, and 2 butterfly fish; each piranha can eat 1 goldfish and 3 butterfly fish per day; while each squid can eat 1 goldfish and 1 angelfish per day. Billy-Sean will feed 21 goldfish, 21 angelfish, and 35 butterflyfish to satisfy all the creatures. How many baby sharks, piranhas, and squids are in the tank?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Let b = # of baby sharks
let p = # of piranhas
let s = # of squids

The total number of goldfish is 1 for each baby shark, 1 for each piranha, and 1 for each squid:
1b%2B1p%2B1s+=+21 or just b%2Bp%2Bs+=+21

Using the given information, write similar equations saying that the total number of angelfish is 21 and the total number of butterflyfish is 35. That will give you three equations in b, p, and s which you can solve by any method you want.