Answer:
Number of dimes = 28
Step-by-step explanation:
Given that:
Worth of coins = $6.30 = 6.30 * 100 = 630 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement;
x = 2y Eqn 1
10x+25y = 630 Eqn 2
Putting x = 2y in Eqn 2
10(2y) + 25y = 630
20y + 25y = 630
45y = 630
Dividing both sides by 45
[tex]\frac{45y}{45}=\frac{630}{45}\\y=14[/tex]
Putting y=14 in Eqn 1
x = 2(14)
x = 28
Hence,
Number of dimes = 28
