# Equation - math word problems - page 55

1. A man A man spends 5/9 of his money on rent, and 5/16 of the remainder on electricity. If the final balance remaining is 550 find how much was spent on rent
2. Intersections Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5
3. Intercept with axis F(x)=log(x+4)-2, what is the x intercept
4. Last page Two consecutive sheets dropped out of the book. The sum of the numbers on the sides of the dropped sheets is 154. What is the number of the last page of the dropped sheets?
5. Twenty Twenty rabbits are put in 4 cells so that there are different number of rabbits in each cell contains at least 3 rabbits. What is the largest possible number of rabbits in one cell
6. Carla Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter’s age was twice the sum of Carla’s and Jim’s age. Find the present age of each one of them.
7. Mixture 2 How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution?
8. Taxi A taxi ride costs \$3 plus \$2.50 per mile. Write and Graph an equation in two variables that represents the total cost of a taxi ride.
9. Sand castle Tim and Tom built a sand castle and embellished it with a flag. Half the pole with the flag plunged into the castle. The highest point of the pole was 80 cm above the ground, its lowest point 20 cm above the ground. How high was the sand castle?
10. Equatiom Solve equation with negatives: X/(-5) + 2 = -9
11. Three tributaries It is possible to fill the pool with three tributaries. The first would take 12 hours, the second 15 hours, and the third 20 hours. The day before the summer season began, the manager opened all three tributaries simultaneously. How long did it take to fil
12. Diofant equation 250x + 120y = 5640
13. Brother and sister When I was 8, my sister was 4, now I am 18, how old is my sister?
14. Midpoint 4 If the midpoint of a segment is (6,3) and the other end point is (8,-4) what are thw coordinate of the other end?
15. Find x Solve: if 2(x-1)=14, then x= (solve an equation with one unknown)
16. Journey 5 A man has to do a journey of 84km in 3 hours. He travels the first 30km at 20km/hr. At what rate must he travel the remaining distance to complete his journey on time?
17. Value 4 If 5/18=425 what is the value 13/18?
18. Two numbers 6 Fill two natural numbers a, b: 7 + blank- blank = 5
19. Loan 5 Abdul takes a loan of 200000 from Ali and agrees to repay in number of instalment, each instalment begin with the 2nd exceeding the previous one by 1000, if the first instalment is 500, find how many instalment will be necessary to be wipe out the loan? C
20. Thunderstorm The height of the pole before the storm is 10 m. After a storm when they come to check it they see that on the ground from the pole blows part of the column. Distance from the pole is 3 meters. At how high was the pole broken? (In fact, a rectangular tria

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