I need help with 16. Here's the transcribed content suitable for an educational website:---**B. Exercises****Write and solve a system of equations for each problem.**11. Mr. Johns invested in two businesses. Last year he gained 10% on the first investment and 12% on the second. If he invested $1000 more in the first business and gained a total of $6040, how much did he invest in each business?12. A man has $43,000 in an IRA mutual fund and $37,000 in a money market account that pays simple interest. What is the rate of return for each account if his total annual interest income is $4750?13. The sum of the digits of a two-digit number and the number formed when the digits are reversed is 121. The difference of the original number and the new number is 36. What is the original number?14. The tens digit is six less than the units digit of a two-digit number. When the digits are reversed, the sum of the original number and the new number is 132. What is the original number?15. At noon Shawna left her home headed to Rochester, traveling at an average rate of 38 mi/hr. Terrance left 2 hr later, traveling at an average rate of 43 mi/hr, and was 56 mi behind Shawna when he arrived in Rochester. How far is it from their home to Rochester, and how long did each take to make the drive?16. On Monday it took Mr. Jones 6 hr 48 min to fly his Cessna 172 from Houston to El Paso. His return trip on Tuesday took only 4 hr 24 min since his ground speed was 60 mi/hr faster. Determine his average speed for both trips and the distance between the two airports.17. A commercial jetliner with an air speed of 640 mi/hr leaves Chicago and flies due west at the same time that a small single-engine plane with an air speed of 180 mi/hr leaves Chicago flying due east. Determine the speed of a wind blowing from the west if the jetliner is 1500 mi west and the single-engine plane is 550 mi east of Chicago.18. A steamboat can travel 60 mi down the Mississippi in the same time that it travels 38 mi up the river. If the current flows at 3 mi/hr, determine the speed of the boat in still water.19

Name: I need help with 16. Here's the transcribed content suitable for an ed
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: I need help with 16. Here's the transcribed content suitable for an educational website:---**B. Exercises****Write and solve a system of equations for each problem.**11. Mr. Johns invested in two businesses. Last year he gained 10% on the first inves