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Noshad
Joe has a collection of 23 coins, consisting of 5-cent coins, 10-cent coins, and 25-cent coins. He has 3 more 10-cent coins than 5-cent coins, and the total value of his collection is 320 cents. How many more 25-cent coins does Joe have than 5-cent coins?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4

slightly lengthy question as it involves too much of substitution
given
x+y+x=23
x+3=y
need to find z-x value
5x+10y+25z=320
x+2y+5z=64
also 2x+z=20
z=20-2x

x+2y+100-10x=64
x+2*(x+3)+5(20-2x)=64
solve x= 6
so z= 20-12 ; 8
x-z ; 2
IMO C
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