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51% of the fish in a pond are swordtails. The rest are mollies and guppies in the ratio 5:2. There are 222 more swordtails than guppies. How many fish are there in the pond altogether?(please help me with this within 5 minutes)

 Aug 2, 2015

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 #1
avatar+128475 
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51% of the fish in a pond are swordtails. The rest are mollies and guppies in the ratio 5:2. There are 222 more swordtails than guppies. How many fish are there in the pond altogether?(please help me with this within 5 minutes)

 

Thr mollies and guppies comprise the other 49% of the fish.....if they are in the ratio of 5:2, then 35% of the total are mollies and 14% are guppies.

 

Let T be the total number of fish.  Then.........

 

51% T   =  14%T + 222      or

 

.51T = .14T + 222     subtract .14T from both sides

 

.37T = 222   divide both sides by ,37

 

T = 222/.37 = 600 fish total

 

Check .....    51% are swordtails = 306

 

14% are guppies = 84

 

And 306 - 84 = 222

 

 

 Aug 2, 2015
 #1
avatar+128475 
+8
Best Answer

51% of the fish in a pond are swordtails. The rest are mollies and guppies in the ratio 5:2. There are 222 more swordtails than guppies. How many fish are there in the pond altogether?(please help me with this within 5 minutes)

 

Thr mollies and guppies comprise the other 49% of the fish.....if they are in the ratio of 5:2, then 35% of the total are mollies and 14% are guppies.

 

Let T be the total number of fish.  Then.........

 

51% T   =  14%T + 222      or

 

.51T = .14T + 222     subtract .14T from both sides

 

.37T = 222   divide both sides by ,37

 

T = 222/.37 = 600 fish total

 

Check .....    51% are swordtails = 306

 

14% are guppies = 84

 

And 306 - 84 = 222

 

 

CPhill Aug 2, 2015

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