David and Gino each have coins with the same total value. David has a mixture of nickels and dimes, and he has 8 more nickels than he has dimes. Gino only has nickels, and he has 20 more nickels than David. What is the value of David's coins?

A.
$1.45
B.
$1.90
C.
$0.55
D.
$1.50

.A

Step-by-step explanation:

Use x as dimes add more 8 nickels then he add 20 nickels and then simply the nickels which is

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.