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:

Respuesta :

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.