Equations practice problems - page 157 of 239
Number of problems found: 4780
- 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?
- Question: 5736
A mother is 21 years older than a child. In 6 years, the mother will be five times more than the child. Question: Where's Dad?
- Work
The first worker would need less than 4 hours to complete the task than the other worker. In fact, both workers worked for two hours together. Then, the first worker did the remaining work himself. In what proportion should the remuneration of the workers
- Number with ones
The first digit of the number is 1. If we move this digit to the end, we get three times the higher number. What is the number?
- Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?
- Trolleybus 5729
How do pupils travel to school? 2/7 uses a trolley bus, 1/5 drives, and the remaining 136 pupils walk. How many pupils are there at school?
- Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number?
- Two trains
There were 159 freight wagons at the railway station creating two trains. One had 15 more wagons than the other. How many wagons did each train have?
- Birthday
The mother bought 21 desserts on the occasion of Mirka's birthday. One tip was 9 CZK, and the kremlin cost 12 CZK. For all desserts, she paid 213 CZK. How many kremlins and how many tips did mums buy?
- Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
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