Answer:

Step-by-step explanation:
<u>Step 1: Convert into an equation</u>
Nine less than one forth of a number is 6

<u>Step 2: Add 9 to both sides</u>



<u>Step 3: Multiply both sides by 4</u>


Answer: 
N + d + q = 35
0.05n + 0.10d + 0.25q = 6
n = d + 5
n + d + q = 35
0.05n + 0.10d + 0.25q = 6.....multiply by -4
----------------
n + d + q = 35
-0.20n - 0.40d - q = - 24 (result of multiplying by -4)
----------------add
0.80n + 0.60d = 11
0.80(d + 5) + 0.60d = 11
0.80d + 4 + 0.60d = 11
1.40d = 11 - 4
1.40d = 7
d = 7 / 1.40
d = 5 <==== there are 5 dimes
n = d + 5
n = 5 + 5
n = 10 <==== there are 10 nickels
n + d + q = 35
10 + 5 + q = 35
15 + q = 35
q = 35 - 15
q = 20 <=== there are 20 quarters
THE first option is correct