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 
:
let f = no. of #5 coins
let t = no. of $2 coins
:
Given that
t = {{{5/8}}}f
:
5f + 2t = 100
replace t with {{{5/8}}}f
5f + 2({{{5/8}}}f) = 100
5f + {{{10/8}}}f = 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 = {{{5/8}}}(16)
t = 10 ea $2 coins
:
:
:
Check this, find the total $
16(5) = 80
10(2) = 20