Question

george has 16 coins in his pocket. He has both dimes and quarters. If he has $2.20 in his pocket, how many of each coin does he have

Answer 1

Hello! George has 4 Quarters and this equals $1.00 and 12 dimes to equal 1.20! Hope this helped!

Answer 2

Let's assume

number of dimes in coin as 'd'

number of quarters in coin as 'q'

we are given

total number of coins is 16

so, we get

`d+q=16`

we know that

1 dime =$0.10

1 quarter=$0.25

we have

he has $2.20 in his pocket

so, we get equation as

`0.10d+0.25q=2.2`

so, we get system of equation as

`d+q=16`

`0.10d+0.25q=2.2`

Firstly, we will solve for q from first equation

`q=16-d`

now, we can plug back q

`0.10d+0.25(16-d)=2.2`

`0.10d+4-0.25d=2.2`

`-0.15d=-1.8`

now, we can solve for d

`d=12`

now, we can solve for q

`q=16-12`

`q=4`

so,

number of dimes coins are 12

number of quarter coins are 4...........Answer