Question

In a collection of nickels and dimes the number of dimes is 3 more than twice the number of nickels. If the value of the collection is $1.80, how many nickels are there?6 7 1524

Answer 1

Let n be the number of nickels and d be number of dimes.

The number of dimes is 3 more than twice the number of nickels. This can be written as,

`d=3+2n`

The value of one nickel is 5 cents, and value of one dime is 10 cents. Also, 1 dollar is 100 cents.

Therefore,

`\begin{gathered} 5n+10d=1.80 \\ 5n+10(3+2n)=180 \\ 25n=180-30 \\ n=6 \end{gathered}`

Thus, the number of nickels is 6