In Example 5.50 we solved the system ofequations
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- Solve the system of equations {3x+y=12x=y8 by substitution and explain all your steps in words.arrow_forwardUsing the method of addition, is there only one way to solve the system?arrow_forwardAt a school concert, 425 tickets were sold. Student tickets cost $5 each and adult tickets cost $8 each. The total receipts for the concert were $2,851. Solve the system {s+a=4255s+8a=2,851 to find s, the number of student tickets and a, the number of adult tickets.arrow_forward
- Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?arrow_forwardKenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each suit sold. Company B offers him a position with a salary of $28,000 plus a $4 commission for each suit sold. How many suits would Kenneth need to sell for the options to be equal?arrow_forwardStephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system {56s=70ts=t+ 1 2 . (a)fort to find out how long it will take Tina to catch up to Stephanie. (b)what is the value of s, the number of hours Stephanie will have driven before Tina catches up to her?arrow_forward
- These exercises refer to the following system: If we add 2 times the first equation to the second equation. The second equation becomes _______=____.arrow_forwardTicket sales Adult tickets for the championship game are usually 5, but on Seniors Day, seniors paid 4. Childrens tickets were 2.50. Sales of 1800 tickets totaled 7425, and children and seniors accounted for one-half of the tickets sold. How many of each were sold?arrow_forwardTranslate to a system of equations and solve: The ticket office at the zoo sold 553 tickets one day. The receipts totaled $3,936. How many $9 adult tickets and how many $6 child tickets were sold?arrow_forward
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