greta is a member of a very small and deliberately low-profile organization called shower Vocalists of AMerica. She paid $45 in dues for each of her first 5 years as a member and $20 in dues each year after that. If greta has paid a total of $485 in dues, for how many years has she pid $20 in dues?

Question

greta is a member of a very small and deliberately low-profile organization called shower Vocalists of AMerica. She paid $45 in dues for each of her first 5 years as a member and $20 in dues each year after that. If greta has paid a total of $485 in dues, for how many years has she pid $20 in dues?

Answer 1

Let's solve this problem step by step:

Let's assume that Greta has paid $20 in dues for x years.
Therefore, she has paid $45 for the first 5 years.

Total dues paid for the first 5 years = $45 × 5 = $225

Total dues for the remaining years (after the first 5 years) = $20 × x = $20x

The sum of the total dues is $485:
$225 + $20x = $485

Now, let's solve for x:
$20x = $485 - $225
$20x = $260

Dividing both sides by $20, we get:
x = $260/$20 = 13

Therefore, Greta has paid $20 in dues for 13 years.