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.

Total number of dimes Ayden has=7

Total number of quarters Ayden has=14

Step-by-step 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

Supplementary angles are angles which add up to 180°. ∠EOA is a right angle, the measurement of ∠EOA is 90°. That means it needs another right angle to add up to 180°. Another right angle which is adjacent to ∠EOA is ∠EOC. Therefore, ∠EOA and ∠EOC are suppleentary.

ANSWER: C. ∠EOC