Equations practice problems - page 156 of 236
Number of problems found: 4717
- Tractors
Two tractors plow the field for 4 hours together. If the first tractor plowed half of the field and then the second tractor completed the job, it would take 9 hours. How many hours does the field plow for each tractor separately? - Brought 5796
Kamil and Kamila brought a total of 140 kg of paper. Kamila weighed 30 kilograms less than Kamil. How much Kamil brought, and how much was Kamila? - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Installed 5793
A group of fitters installed the cable line in 9 changes, and the second group completed the same task in 1/3 less time. How many shifts would the third group do the same work if, with all three groups working together, the assembly took 2 shifts? - Trees
The total number of trees in the orchard is two-fifths of pearls and apples are three eighty. The rest of the trees are nine ceremonial. How many trees are in the set? - Calculate 5770
Calculate how long it will take the Šetrný family to repay the loan if, after the first year, they paid €1350 in interest and the loan's interest rate was 6% p.a. They will repay the loan to the bank for €3,000 each year, and the bank will only add intere - Bricks 5767
The brick weighs 1 kg and a half bricks. How much does a brick weigh?
- Four chocolates
Marek wanted to buy four chocolates but was short of 30 cents. So he bought three chocolates and chewing gum for twenty cents, and he still had 70 cents left. How much did the chocolate cost? How much did Marek have? - Penultimate 5761
The boy was practicing shooting at the basket. Out of the first 12 attempts, he missed 9 times. He was successful in all other attempts except a single penultimate throw. He thus achieved exactly half the success rate (he hit the basket in half of the att - Anthill
Agent 007 was watching the movement in an anthill. He noted in his secret notes that in the morning there were 1317 ants in the anthill. During the day a ants left, then b ants returned, then 2a ants left and c ants came. Then x ants stung the agent, so h - Dried fruit
The manufacturer produces a mixture of dried fruit. He purchased: 10kg pineapple for 200 Kc/kg 2kg papaya for 180 kc/kg 1kg of banana for 400 Kc/kg How many kgs of raisin for 80 Kc/kg must be put into the mix by the manufacturer so that the production pri - Pupils 5753
The class has 24 pupils, with 40% fewer boys than girls. How many boys and girls are in the class? - Class alphabet
All 29 pupils in the class are written in a class alphabet. The number of pupils enrolled before Paul is three times higher than those behind him. Calculate how many pupils are enrolled after Paul. - Result 5749
I think the number if I assign 8 (add) to it and divide the result by two, I get a number 46 less than the number, I guess. What number do I think? - Accompanying 5748
An accompanying vehicle set off behind the car with an oversized load moving at a speed of 16 km/h in 2.5 hours, which must reach it in 45 minutes. What speed does he have to go?
- Three-quarters 5746
Ondra found that three-quarters of a bag of washing powder was used up in their family in 12 weeks. How many more weeks will they last? How long does a whole bag of washing powder last? - The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river? - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Christmas 5740
When the mothers sat down on the benches at the Christmas gazebo, only one mother sat on the last bench. When the six of them sat down, one mother remained standing. How many mothers were there on the gazebo, and how many benches could they sit on? - Long-distance 5737
The long-distance bus driver went 2/5 of the route length in the morning and 1/3 of this length in the afternoon. He still has 60 km to the finish. How long is the long-distance bus route?
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