Question

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.

Answer 1

Answer:

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