SOLUTION: Lee Han recieved $2.50 on his fourth birthday when he put the money in the bank he put 1 more dime then quarters and 2 more Nichols then quarters and dimes together how many coins

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Question 723641: Lee Han recieved $2.50 on his fourth birthday when he put the money in the bank he put 1 more dime then quarters and 2 more Nichols then quarters and dimes together how many coins of each kind did he put in his bank.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
(1) +n+=+q+%2B+d+%2B+2+
(2) +d+=+q+%2B+1+
(3) +5n+%2B+10d+%2B+25q+=+250+ ( in cents )
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Substitute (1) into (3)
(3) +5%2A%28+d+%2B+q+%2B+2+%29+%2B+10d+%2B+25q+=+250+
(3) +5d+%2B+5q+%2B+10+%2B+10d+%2B+25q+=+250+
(3) +15d+%2B+30q+=+240+
(3) +3d+%2B+6q+=+48+
Substitute (2) into (3)
(3) +3%2A%28+q+%2B+1+%29+%2B+6q+=+48+
(3) +3q+%2B+3+%2B+6q+=+48+
(3) +9q+=+45+
(3) +q+=+5+
and, since
(2) +d+=+q+%2B+1+
(2) +d+=+5+%2B+1+
(2) +d+=+6+
and
(1) +n+=+q+%2B+d+%2B+2+
(1) +n+=+5+%2B+6+%2B+2+
(1) +n+=+13+
There are 13 nickels, 6 dimes and 5 quarters
check:
(3) +5n+%2B+10d+%2B+25q+=+250+
(3) +5%2A13+%2B+10%2A6+%2B+25%2A5+=+250+
(3) +65+%2B+60+%2B+125+=+250+
(3) +250+=+250+
OK