Your roommate, John, offered to buy household supplies for you and your other roommate. You live
near the border of three states, each of which has a different sales tax. The total amount of money spent
was $\$ 100.75$ . Your supplies were bought with 5$\%$ tax, John's with 8$\%$ tax, and your third roommates with 9$\%$ sales tax. The total amount of money spent without taxes is $\$ 93.50 .$ If your supplies before tax were $\$ 1$ more than half of what your third roommate's supplies were before tax, how much did each of you spend? Give your answer both with and without taxes.
Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and
truck driver. The sum of the annual salaries of the warehouse manager and office manager is $\$ 82,000$ . The office manager makes $\$ 4,000$ more than the truck driver annually. The annual salaries of the warehouse manager and the truck driver total $\$ 78,000$ . What is the annual salary of each of the co-workers?
At a carnival, $\$ 2,914.25$ in receipts were taken at the end of the day. The cost of a child's ticket was $\$ 20.50$ , an adult ticket was $\$ 29.75$ , and a senior citizen ticket was $\$ 15.25$ . There were twice as many senior citizens as adults in attendance, and 20 more children than senior citizens. How many children, adult, and senior citizen tickets were sold?
A local band sells out for their concert. They sell all $1,175$ tickets for a total purse of $\$ 28,112.50$ . The tickets were priced at $\$ 20$ for student tickets, $\$ 22.50$ for children, and $\$ 29$ for adult tickets. If the band sold twice as many adult as children tickets, how many of each type was sold?
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