In anna's pocket there is $16.20 in quarters, nickles and dimes. In all there are 97 coins if there are seven more nickles than dimes, find how many of each kind there are.

Question

anonymous · Answer

25 quaarter  97 - 2x+7 pcs
5 = nickle      x+7 pcs
10 = dimes    x pcs

1620 total   97pcs

25(104-2x) + 5(x+ 7) + 10x = 1620

2600 - 50x + 5x + 35 + 10x = 1620

-35x = 1620 - 2635
-35x = -1015

x= 29
x+ 7 = 36

29+ 36 =  65
97- 65 = 32

there are 29 dimes

36 nickles 

and 32quarters