The total cost for attending the University of Michigan as an out-of-state student is $43,476 for one year of tuition. Lucy received a $10,000 academic scholarship and a $1,000 scholarship from her dance studio. Her parents also agreed to contribute $15,000 each year for her tuition. Determine the total cost Lucy needs to save over the next 24 months to pay off the remaining cost of her tuition for the first year.