Respuesta :

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

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

[tex] d+q=16 [/tex]

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

[tex] 0.10d+0.25q=2.2 [/tex]

so, we get system of equation as

[tex] d+q=16 [/tex]

[tex] 0.10d+0.25q=2.2 [/tex]

Firstly, we will solve for q from first equation

[tex] q=16-d [/tex]

now, we can plug back q

[tex] 0.10d+0.25(16-d)=2.2 [/tex]

[tex] 0.10d+4-0.25d=2.2 [/tex]

[tex] -0.15d=-1.8 [/tex]

now, we can solve for d

[tex] d=12 [/tex]

now, we can solve for q

[tex] q=16-12 [/tex]

[tex] q=4 [/tex]

so,

number of dimes coins are 12

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