Question

A collection of dimes and nickels is worth 3.30. if there are 42 coins in total how many of each kind of coin are there?

Answer 1

Answer:1 nickels =$0.05

1 dime= $0.1

Explanation:

1 nickels =$0.05

1 dime= $0.1

let the number of nickels be x and that of dimes be y.

total number of coins is given by:

x+y=42

hence:

y=42-x.......i

total amount of cash will be:

0.05x+0.1y=3.30.........ii

substituting i in ii we get:

0.05x+0.1(42-x)=3.30

0.05x+4.2-0.1x=3.3

-0.05x=-0.9

x=-0.9/(-0.05)

x=18

hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24