Question

Nineteen nickels and dimes are inside the bank for a total of $1.30 how many nickels are there

Answer 1

Given data:

The total numbers of nickel and dimes are n+d=19.

The expression for the total cost is 0.05n+0.1d=1.3.

The first equation can be written as,

`n=19-d`

Substitute above exprression in second equation.

`\begin{gathered} \text{0}.05(19-d)+0.1d=1.3 \\ 0.95-0.05d+0.1d=1.3 \\ \text{0}.05d=0.35 \\ d=7 \end{gathered}`

The numbers of nickels are,

`\begin{gathered} n=19-7 \\ =12 \end{gathered}`

Thus, the numbers of nickels are 12, and numbers of dimes are 7.