SOLUTION: emma has a jar containing 65 coins all of which are either nickels or dimes. The total value of the coins is $5.30. How many of each type does she have?

Question 277119: emma has a jar containing 65 coins all of which are either nickels or dimes. The total value of the coins is $5.30. How many of each type does she have?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an equation for each statement
n = no. of nickels
d = no. of dimes
:
emma has a jar containing 65 coins
n + d = 65
n = (65-d); use this form for substitution
:
The total value of the coins is $5.30.
.05n + .10d = 5.30
:
replace n with (65-d)
.05(65-d) + .10d = 5.30
3.25 - .05d + .10d = 5.30
-.05d + .10d = 5.30 - 3.25
.05d = 2.05
d =
d = 41 dimes
then
65 - 41 = 24 nickels
:
:
Check solution, find the total$
.05(24) + .10(41) =
1.20 + 4.10 = 5.30
How many of each type does she have?
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