Given:
Susie has 34 nickels and dimes. Their total value is $2.35.
To find:
The number of nickels and number of dimes.
Solution:
Let the number of nickels be x and number of dimes be y.
Susie has 34 nickels and dimes.
[tex]x+y=34[/tex] ....(i)
We know that,
1 nickel = $0.05
1 dime = $0.10
Their total value is $2.35.
[tex]0.05x+0.10y=2.35[/tex]
Multiply both sides by 100.
[tex]5x+10y=235[/tex]
Divide both sides by 5.
[tex]x+2y=47[/tex] ...(ii)
Subtracting (i) from (ii), we get
[tex]x+2y-x-y=47-34[/tex]
[tex]y=13[/tex]
Putting y=13 in (i), we get
[tex]x+13=34[/tex]
[tex]x=34-13[/tex]
[tex]x=21[/tex]
Therefore, number of nickels is 21 and number of dimes is 13.
