System of equations - math word problems - page 30

1. In a 2 In a thirteen sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal and the other four are 18° less than each of the equal angles. Find the angles. .
2. A triangle A triangle has an angle that is 63.1 other 2 are in ratio of 2:5 What are the measurements of the two angles?
3. Two unknown numbers One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.
4. Linear system Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2
5. Value 4 If 5/18=425 what is the value 13/18?
6. Inverse matrix Find out inverse by Gauss elimination or by reduction method. A=[2/3. 1 -3. 1/3]
7. Jane plants Jane plants flowers in the garden. If she planted 12 every hour instead of 9 flowers, she would finish with the job an hour earlier. How many flowers does she plant?
8. Triangle 42 Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is measure of triangle BCA=?
9. Two numbers 7 The sum of two consecutive even numbers is 30. Find the numbers.
10. The size The size of a Trapezium are 3/4×cm, ×cm 2(×+1)cm and 3(×+2)cm long respectively if it's perimeter is 60cm, calculate the length of each side. Mr. Smith is on a road trip to a remote disc golf course 180km away. He travels part of the way at 100km/h along the highway, and part of the way at 50km/h along dirt roads. If it took 2 hours to get there, how many hours did he spend on dirt roads?
12. Father and daughter When I was 11 my father was 35 year old. Now, father has three times older then me. How old is she?
13. Nine books Nine books are to be bought by a student. Art books cost \$6.00 each and biology books cost \$6.50 each . If the total amount spent was \$56.00, how many of each book was bought?
14. Ages 2 A man's age is 4 times his son's age. After 5 years he will be just twice his son's age, find their ages.
15. The difference The difference of two numbers is 1375. If their exact quotient is 12. Find the two numbers
16. Tickets 4 Stacey is selling tickets to the school play. The tickets are \$7 for adults and \$5 for children. She sells twice as many adult tickets as children's tickets and brings in a total of \$342. How many of each kind of ticket did she sell?
17. The dormitory The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples.
18. Trio weight Adelka, Barunka, and Cecilka are weight in pairs. Adelka with Barunka weighs 98 kg, Barunka with Cecilka 90 kg and Adelka with Cecilka 92 kg. How much does each of them weigh?
19. On the 4 On the way to playing disc golf with his two boys, Mr. Smith purchases 3 muffins and 2 bottles of water, totaling \$9.75. The following week he only has Asher with him, so he purchases 2 muffins and 1 bottle of water totalling \$6.00. What is the cost of on
20. Home cleaning Mr. Smith is cleaning up a big mess at home. In the closet, he finds a solution that is 5% bleach, and another stronger solution that is 20% bleach. For this particular job, he needs 600mL of 15% bleach. How much of each type (to the nearest mL) should he.

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