Section 3.4 Applications of Systems of Linear Equations in Two Variables 267 9. Jen has 2 scoops of vanilla ice cream and 1 scoop of mud pie ice cream for a total of 40 g of fat. Jim has 1 scoop of vanilla and 2 scoops of mud pie for a total of 44 g of fat. How much fat is in 1 scoop of each ice cream? 19. Mr. Levy borrowed money from two lenders. One lender charged 5.5% simple interest and the other charged 3.5% simple interest.Mr. Levy had to borrow $200 more at 5.5% than he did at 3.5%. If the total interest after the first year was $245, how much did he borrow at each rate? Concept 4: Applications Involving Uniform Motion 20. Jody invested $5000 less in an account paying 3% simple interest than she did in an account paying 4% simple interest. At the end of the first year, the total interest from both accounts was $725. Find the amount invested in each account. 21. Alina borrowed a total of $15,000 from two banks to buy a new boat. Because of her excellent credit, one bank charged only 6% simple interest and the other charged 7% simple interest. At the end of 5 yr, the total amount of money she paid in interest was $4750. How much did she borrow from each bank? 22. Didi plans to take a trip to the Galapagos Islands in 4 yr and knows that she needs approximately $3500 for the trip. She invests a total of $15,500 in two funds. One fund has a 6% return, and the other has a 5% return. How much should she invest in each fund so that she earns $3500 after 4 yr? 23. It takes a boat 2 hr to travel 16 mi downstream with the current and 4 hr to return against the current. Find the speed of the boat in still water and the speed of the current. (See Example 4.) 24. A plane flew 720 mi in 3 hr with the wind. It would take 4 hr to travel the same distance against the wind.What is the speed of the plane in still air and the speed of the wind? 11. A jar of one face cream contains 18% moisturizer, and another type contains 24% moisturizer. How many ounces of each should be combined to get 12 oz of a cream that is 22% moisturizer? (See Example 2.) 12. Logan wants to mix an 18% acid solution with a 45% acid solution to get 16 L of a 36% acid solution. How many liters of the 18% solution and how many liters of the 45% solution should be mixed? 13. How much fertilizer containing 8% nitrogen should be mixed with a fertilizer containing 12% nitrogen to get 8 L of a fertilizer containing 11% nitrogen? 14. How much 30% acid solution should be added to 10% acid solution to make 100 mL of a 12% acid solution? 15. How much pure bleach should Tim combine with a solution that is 4% bleach to make 12 oz of a 12% bleach solution? (Hint: Pure bleach is 100% bleach.) 16. A fruit punch that contains 25% fruit juice is combined with 100% fruit juice. How many ounces of each should be used to make 48 oz of a mixture that is 75% fruit juice? (Hint: Pure juice is 100% juice.) 17. Mr. Coté invested 3 times as much money in a stock fund that returned 8% interest after 1 yr as he did in a bond fund that earned 5% interest. If his total earnings came to $435 after 1 yr, how much did he invest in each fund? (See Example 3.) 18. Aliya deposited half as much money in a savings account earning 2.5% simple interest as she invested in a money market account that earns 3.5% simple interest. If the total interest after 1 yr is $247, how much did she invest in each account? Concept 3: Applications Involving Principal and Interest 10. Roselle has 2 cups of popcorn and 8 oz of soda for a total of 216 calories. Carmel has 1 cup of popcorn and 12 oz of soda for a total of 204 calories. Determine the number of calories per cup of popcorn and per ounce of soda. Concept 2: Applications Involving Mixtures
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above