Question

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?

Answer 1

n + d = 175 .... d = 175 - n
0.05n + 0.10d = 13.30

0.05n + 0.10(175 - n) = 13.30 <== and u would just solve for n

Answer 2

Let

n-------> the number of nickels

d-------> the number of dimes

we know that

`1\ nickel=\$0.05`

`1\ dime=\$0.10`

so

`0.05n+0.10d=13.30` -----> equation A

`n+d=175`

`d=175-n` -------> equation B

substitute equation B in equation A

`0.05n+0.10(175-n)=13.30` ------> equation that can be used to find n

Solve for n

`0.05n+17.5-0.10n=13.30`

`17.5-13.30=0.10n-0.05n`

`0.05n=4.2`

`n=84\ nickel`

find the value of d

`d=175-n`

`d=175-84=91\ dimes`

therefore

the answer is

The equation that can be used to find n is
`0.05n+0.10(175-n)=13.30`

The number of nickels in the collection is
`84\ nickel`