SOLUTION: brandon has 20 coins consisting of nickels and dimes. if the nickels were dimes and the dimes were nickels, he would have 30 cents more than he has now. how many dimes did he have
Algebra.Com
Question 1008625: brandon has 20 coins consisting of nickels and dimes. if the nickels were dimes and the dimes were nickels, he would have 30 cents more than he has now. how many dimes did he have to begin with?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
N=nickels; D=dimes
.
N+D=20
D=20-N
.
$0.05N+$0.10D=$0.10N+$0.05D-$0.30
$0.05D=$0.05N-$0.30
$0.05(20-N)=$0.05N-$0.30
$1.00-$0.05N=$0.05N-$0.30
$1.30=$0.10N
13=N
ANSWER 1: He has 13 nickels.
.
D=20-N=20-13=7
ANSWER 2: He had 7 dimes.
.
CHECK:
.
$0.05N+$0.10D=$0.10N+$0.05D-$0.30
$0.05(13)+$0.10(7)=$0.10(13)+$0.05(7)-$0.30
$0.65+$0.70=$1.30+$0.35-$0.30
$1.35=$1.35
RELATED QUESTIONS
Mongo has 20 coins consisting of nickels and dimes. if the nickels were dimes and dimes... (answered by KMST)
Barbara has 20 coins consisting of nickels and dimes. If the nickels were dimes
and the... (answered by Alan3354)
Barbara has 20 coins consisting of nickels and dimes. If the nickels were dimes and the... (answered by Edwin McCravy)
if Barbara has 20 coins consisting of nickels and dimes. If the nickels were dines and... (answered by CubeyThePenguin)
Patty has 20 coins consisting of nickels and dimes. If her nickels were dimes and her... (answered by ankor@dixie-net.com)
joe has a collection of nickels and dimes worth $7.05. if the number of dimes were... (answered by ankor@dixie-net.com)
Irving has 35 coins, consisting of only dimes and nickels. If the value of his coins is... (answered by mananth)
Sarah has 30 coins consisting of nickels and dimes. If her nickels were dimes and her... (answered by ewatrrr)
When a child breaks open her piggy bank, she finds a total of 64 coins, consisting of... (answered by richwmiller)