Question

Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes does he have?

Answer 1

Number of dimes = 28

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

`(45y)/(45)=(630)/(45)\\y=14`

Putting y=14 in Eqn 1

x = 2(14)

x = 28

Hence,

Number of dimes = 28