Answer:
Total number of quarters Aria has=6
Total number of dimes Aria has=12
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