# Equation - math word problems - page 52

1. Substitution solve equations by substitution: x+y= 11 y=5x-25
2. Complementary angles 2 Two complementary angles are (x+4) and (2x - 7) find the value of x
3. Iron pole The iron pole is in the ground 2/5 of its length, partly above the ground 1/3 is yellow, and the unpainted section is 6 m long. How long is the entire column?
4. Playing How long have we trained on the pitch when we know that the warm-up took 10 minutes, we trained passes for one-third of the time and we played football half the time?
5. Equation 29 Solve next equation: 2 ( 2x + 3 ) = 8 ( 1 - x) -5 ( x -2 )
6. Water lilies Water lilies are growing on the pond and their number is doubled every day. The whole layer is covered in 12 days. How many days will it cover 8 layers?
7. The larger The larger of two numbers is nine more than four times the smaller number. The sum of the two numbers is fifty-nine. Find the two numbers.
8. Two ships The distance from A to B is 300km. At 7 am started from A to B a ferry with speed higher by 20 km/h than a ship that leaves at 8 o'clock from B to A. Both met at 10h 24min. Determine how far they will meet from A and when they reach the destination.
9. Age In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
10. Oranges Mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there?
11. What is What is the value of the smaller of a pair of numbers for which their sum is 78 and their division quotients are 0.3?
12. Square sides If the square side increases by 28%, the square circumference increases by 11.2 meters. Find the length of the original square side.
13. Mushrooms Grandfather gathered fresh mushrooms. The fifth was wormwood, and it was thrown away, the other dried up. He obtained 720 grams of dried mushrooms. How many kilograms did the grandfather collect, and by drying the mushrooms they lost 75% of their weight?
14. Honza Honza is 13 years old and Peter 21 years old. After how many years are their ages will be at ratio 7: 9?
15. Equation 15 Solve equation with variables on both sides:
16. A man 2 A man divides \$10,000 into two investments, one at 10% and the other at 30%. Find how much is invested at each rate so that the two investments produce the same income annually.
17. Two thirds Find two-thirds of the number equal to two-thirds of 99
18. Six workers Six workers planned to repair the roof in 5 days. After two days, two workers get sick. How long will the remaining workers complete the roof at the same rate of work?
19. Employees There are 1116 people working in three factory halls. In the first one, there are 18% more than the third, and 60 persons more than the second. How many employees work in individual halls?
20. Negative in equation 2x + 3 + 7x = – 24, what is the value of x?

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