I wasn’t in class when the teacher explained how to do the word problems, here are some from the homework he assigned that is due tomorrow. please show me how to get the answers.
1) The sum of two numbers is -63. The first number minus the second is -41. Find the numbers.
2. The difference between two numbers is 11. Twice the smaller number plus three times the larger number is 123, What are the numbers?
3. A chemist has one solution that is 25% acid and a second that is 50% acid. How many liters of each should be mixed together to get a 10 L solution that is 10% orange juice?
4. Antifreeze A is 18% alcohol. Antifreeze B is 10% alcohol. How many liters of each should be mixed to get 20 L of a mixture that is 15% alcohol?
5. Two investments were made totaling 00. For a certain year these investments yielded 32 in simple interest. Part of the 000 was invested at 9% and part at 10%. Find the amount invested at each rate.
6. A total of ,000 was invested, part of it at 10% and part at 12%. The total yield was 90. How much was invested at each rate?
7. Two cars leave town traveling in opposite directions. One travels at 80 km/h and the other at 96 km/h. In how many hours will they be 528 km apart?
8. Two planes travel toward each other from cities that are 780 km apart, at rates of 190 and 200 km/h. They started at the same time. In how many hours will they meet?
9. The perimeter of a lot is 190 m. The width is 1/4 the length. Find the dimensions.
10. One week a business sold 40 scarves. White ones cost .95 and printed ones cost .95. In all, 2 worth of scarves were sold. How many of each kind were sold?
Thanks in advance.