Aria has $2.70 worth of dimes and quarters. She has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Aria has.

Total number of quarters Aria has=6

Total number of dimes Aria has=12

Step-by-step explanation:

The expression for the total value of money Aria 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=x

Value of a dime=0.10

number of dimes=y, but y=2x

replacing;

2.70 = (0.25*x) + (0.1*2x)

0.25 x+0.2 x=2.7

0.45 x=2.7

x=2.7/0.45

x=6

y=2 x=2*6=12

Total number of quarters=6

Total number of dimes=12