Solve for j (show steps)

k (j - 3) = m

solve for x (show steps)

3 (8-x) + 12=102-6x

(show steps)

Jenna's piggy bank contains only quarters and dimes, with a total value of $6.05. The number of dimes is triple the number of quarters. How many of each coin does she have?

Let q equal the number of quarters.

Write out what each represents:

Quarters:

Dimes:

Value of quarters:

Value of dimes:

Equation:

Solve:

1. k (j - 3) = m

Divide the k on both sides - > j - 3 = m/k

Add the 3 on both sides - > j = (m/k) + 3

2. 3 (8 - x) + 12 = 102 - 6x

Subtract the 12 on both sides - > 3 (8 - x) = 90 - 6x

Add the 6x on both sides - > 3 (8 - x) + 6x = 90

Divide both sides by 3 - > 8 - x + 6x = 30

Combine like terms - > 8 + 5x = 30

Subtract 8 from both sides - > 5x = 22

Divide both sides by 5 - > x = 22/5

3. Sorry, I can't remember exactly how to do the last one.