Question

Nicole has 20 coins in her purse. Some are nickels and some are dimes.IN total she has $3 in her purse.How many of each coin does Nicle have?

Answer 1

Number of nickels is 10

Number of dimes is 10

Explanation:

Let's assume

number of nickels =n

number of dimes =d

Nicole has 20 coins in her purse

so,

`n+d=20`

we know that

1 nickel =0.20 dollar

1 dimes =0.10 dollar

total she has $3 in her purse

so, we can get another equation

`0.20n+0.10d=3`

we get system of equations as

`n+d=20`

`0.20n+0.10d=3`

We can isolate n from first and plug into second

`n=20-d`

`0.20(20-d)+0.10d=3`

now, we can solve for d

`0.2\left(20-d\right)\cdot \:10+0.1d\cdot \:10=3\cdot \:10`

`2\left(20-d\right)+d=30`

`40-d=30`

`d=10`

now, we can find n

`n=20-10`

`n=10`

So,

Number of nickels is 10

Number of dimes is 10