SOLUTION: In a terrarium, there are 10% more female bugs than male bugs. If there are 8 more females than males, how many bugs are in the terrarium?
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Question 1048118: In a terrarium, there are 10% more female bugs than male bugs. If there are 8 more females than males, how many bugs are in the terrarium?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
F = number of female bugs
M = number of male bugs
"there are 10% more female bugs than male bugs" means that which turns into
" there are 8 more females than males" means
--------------------------------------------------------
We'll use these equations to find M and F.
Start with the second equation
Replace F with 1.1M (see above)
Subtract M from both sides
Combine like terms
Divide both sides by 0.1 to isolate M
Simplify
There are 80 male bugs
Go back to the second equation above
Replace M with 80
Add
There are 88 female bugs
There are a total of 80+88 = 168 bugs
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