SOLUTION: Lisa has $4.20 in her bank in nickels, dimes, and quarters. She has 44 coins altogether. The number of nickels is one more than twice the number of dimes. Find the number of each k

Question 1096735: Lisa has $4.20 in her bank in nickels, dimes, and quarters. She has 44 coins altogether. The number of nickels is one more than twice the number of dimes. Find the number of each kind of coin she has in the bank. Sole the problem by sustituton or linear combination/Elimination.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
dimes are x
nickels are 2x+1
quarters are 44-(x+2x+1)=44-3x-1=43-3x
.10x+.05(2x+1)+.25(43-3x)=4.20
.10x+.10x+.05+10.75-0.75x=4.20
-0.55x=-6.60
x=12 dimes ($1.20)
2x+1=25 nickels ($1.25)
quarters are the rest (7) ($1.75)
add to $4.20
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