For each of the following a. Define a variable b. Write an Equation c. Determine the solution

Zach mows lawns. He charges $5 plus $3 per hour. Alex also mows lawns. He charges $2 plus $4 per hour. How many hours do they need to work to make the same amount?

Shaquandra has $30 in her account and deposits $5 per week. Juan has $150 and withdraws $10 each week. After how many weeks will their balances be the same?

A local band is planning to make a compact disc. It will cost $12,510 to record and produce a master copy and an additional $2.50 to make each disc. If they plan to sell each disc for $17.50, how many discs must they sell to break even

Beth owns her own candle making business. She sells each candle for a base price of $5.00 plus $1.00 for each letter that is engraved. Lisa also sells candles for 6.00 plus $2.00 for each letter. At what number of letters will the cost be the same?