SOLUTION: Mrs. Lynch has 21 coins in nickles and dimes. Thier total value is $1.65. How many of each coin is there

Question 16650: Mrs. Lynch has 21 coins in nickles and dimes. Thier total value is $1.65. How many of each coin is there
Answer by bam878s(77) (Show Source): You can put this solution on YOUR website!
let x = number of nickels and y = number of dimes.
then x + y = 21
and
.05x + .10y = 1.65
From the first equation, we can solve ofr either x or y and plug into the second
x + y = 21 => x = 21 - y.
.05(21 - y) + .10y = 1.65
1.05 - .05y + .10y = 1.65
1.05 + .05y = 1.65
.05y = .6
y = 12
Now use this value in the first equation and solve for x
x + 12 = 21 => x = 21 -12 = 9
So she has 9 nickels and 12 dimes
check:
9 nickels = .45 and 12 dimes = 1.20
1.20 + .45 = 1.65
RELATED QUESTIONS
I am having trouble figuring out how to deal with the Ned to figure out the 21 coins part (answered by bucky)

ms. lynch has 21 coins in nickle and dimes.Their total value is $1.65.How many of each... (answered by Paul,mmm4444bot)

Rebecca has 45 coins, all nickles and dimes. The total value of the coins is 3.60. How... (answered by josmiceli)

A box contains 35 coins in nickles and dimes. How many of each coin is there if the total (answered by ewatrrr)

Jasmine has three more nickles then dimes. There are 25 coins all togther. How many of... (answered by Mathtut)

Jasmine has three more nickles then dimes. There are 25 coins all together. how many of... (answered by Mathtut)

A bag contains nickles and quaters. There are 6 more nickles than quaters. Te total value (answered by gwendolyn)

a cash register contains 15 coins in nickles and dimes. total value is $1.25. how many... (answered by josmiceli)

how many coins of each are there if there are 9 more dimes than nickles and 21 more... (answered by algebrapro18)