Math word problem
posted by marko .
lydi sold 4/5 of her candles to raise money for the band. she has 8 candles left. how many candles did lydia start with?
a coin purse contains quarters, dimes, and nickes. there are the same number of dimes as nickesl and half as many quarters as dimes. the coins are worth $1.65 . how many of each coin are in the coin purse. ?

for number 1 is it that she had 13candles to start with?

so 1/5 of the candles are left or 8 are left
so she must have had 40 candles
check: 4/5 of 40 = 32
so she has 8 left.
#2. let the number of quarters be x
then the number of dimes is 2x
and the number of nickels is 2x
25x + 10(2x) + 5(2x) = 165
55x = 165
x = 3
there are 3 quarters, 6 dimes and 6 nickels.
check: 3(25) + 6(10) + 6(5) = 165 
3(25)+6(10)+6(5)=165