Answer:
The number of dimes = 32
The number of quarters = 14
Step-by-step explanation:
Here, the total number of coins combined = 46
Let us assume the number of dimes = m
So, the Number of quarter = Total Coins - Number of dimes = 46 - m
Now,as we know:
1 dime = $0.1
So, m dimes = m x ($0.1) = $(0.1 m)
1 Quarter = $0.25
So, ( 46 - m ) Quarters = (46 - m ) x ( $ 0.25) = 11.5 - 0.25 m
Also, given the total amount of coins = $ 6.70
⇒ Value of (Dimes + Quarters) = $ 6.70
or, (0.1 m) + 11.5 - 0.25 m = 6.70
-0.15 m = - 4.8
or, m = 4.8/0.15 = 32
⇒ m = 32
Hence, the number of dimes = m = 32
And the number of quarters = 46 - m= 46 -32 = 14
