Answer:
Total number of dimes Ayden has=7
Total number of quarters Ayden has=14
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