Ayden has $4.20 worth of dimes and quarters. He has twice as many quarters as dimes. Determine the number of dimes and the number of quarters that Ayden has.

Total number of dimes Ayden has=7

Total number of quarters Ayden has=14

Step-by-step explanation:

The expression for the total value of money Ayden has is;

Quarters have a value of = $0.25

Dimes have a value of = $0.10

Total value = (value of quarters*number of quarters) + (value of dimes*number of dimes)

where;

Total value=$2.70

Value of a quarter=$0.25

number of quarters=y, but y=2 x

Value of a dime=0.10

number of dimes=x

replacing;

4.20 = (0.25*2 x) + (0.1*x)

0.5 x+0.1 x=4.2

0.6 x=4.2

x=4.2/0.6

x=7

y=2 x=2*7=14

Total number of dimes=7

Total number of quarters=14