Question

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.

Answer 1

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