Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins: ...(i)
Total amount: ...(ii)
From (i), we get
...(iii)
Putting this value in (ii), we get
Divide both sides by 0.15.
Putting x=43 in (iii), we get
So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.