SOLUTION: anuj has $ 100 in denomination of $5 and $2 coins. if the number of $ 2 coin anuj has five-eights of the number of $5 coin. how many coins of each types does he have

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Question 1039335: anuj has $ 100 in denomination of $5 and $2 coins. if the number of $ 2 coin anuj has five-eights of the number of $5 coin. how many coins of each types does he have
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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anuj has $ 100 in denomination of $5 and $2 coins. if the number of $ 2 coin anuj has five-eights of the number of $5 coin. how many coins of each types does he have
:
let f = no. of #5 coins
let t = no. of $2 coins
:
Given that
t = 5%2F8f
:
5f + 2t = 100
replace t with 5%2F8f
5f + 2(5%2F8f) = 100
5f + 10%2F8f = 100
multiply the equation by 8, cancel the denominator
8(5f) + 10f = 8(100)
40f + 10f = 800
50f = 800
f = 800/50
f = 16 ea $5 coins
then
t = 5%2F8(16)
t = 10 ea $2 coins
:
:
:
Check this, find the total $
16(5) = 80
10(2) = 20