Equation + system of equations - practice problems - page 25 of 64
Number of problems found: 1273
- Equilibrium 15833
Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium? How can this be calculated with a single equation? And calculate the rest. - Components 15751
Two workers produce 138 parts in one shift. At the same time, the first of them produces 30% more than the second. How many components will each have? I need a notation and an equation. Thank you. - Vegetable meal
The cook was making a meal - in the ratio of 4:3:1, mixing tomatoes: pepper: onion. Onions were 5 kg less than peppers. How many kgs of tomatoes did he need to prepare the meal? - Water current
John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo
- Buttons
The men's shirt has sewn nine buttons, and the blouse has three buttons. Together they sewed 60 pieces and consumed 390 buttons. How many shirts? - TV competition
In the competition, ten contestants answer five questions, one question per round. Anyone who answers correctly will receive as many points as the number of competitors who answered incorrectly in that round. After the contest, one of the contestants said - Palka 14933
The bat and the ball together cost €110. A bat costs 100 euros more than a ball. How much is the ball? - Conical bottle
When a conical bottle rests on its flat base, the water in the bottle is 8 cm from its vertex. When the same conical bottle is turned upside down, the water level is 2 cm from its base. What is the height of the bottle? - The percent 2
The percent return rate of a growth fund, income fund, and money market are 10%, 7%, and 5%, respectively. Suppose you have 3200 to invest and want to put twice as much in the growth fund as in the money market to maximize your return. How should you inve
- Average monthly salary
A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK, according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers o - Before 14221
Peter and Eve read the same book. Petra read 14 pages a day, so she read it a day before Eva, who read 12 pages a day. How many pages did the book have? - Scholarship
The annual scholarship for the best and second-best student in the class is 3500 euros. The best student scholarship in 8 months is the same as the second-best student scholar in the class for the whole year. How big is the annual scholarship to be the fi - One-quarter 13953
Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma. - Difference 13903
The sum of two integers is three, and their difference is 7. Determine the unknown numbers.
- Trio ratio
Hans, Alena, and Thomas have a total of 740 USD. Hans and Alena split in the ratio of 5:6, and Alena and Thomas in the ratio of 4:5. How much will everyone get? - Pinwheels 13751
Mom bought desserts for her birthday party. The pinwheel cost CZK 14, and the Indian women CZK 11. She paid 201 crowns for 15 desserts. How many pinwheels did she buy, and how many Indians? - Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they liked Christmas or Easter. Thirty-four of them like one of the holidays. 39 loves Easter. There are twice as many students who wish for both holidays as those who only - Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches simultaneously had an area of 40cm² and a circumference of 30cm. One of the patches was 8cm wide. What was the width of the sec - Two-digit number
The digit sum of thinking two-digit natural numbers is 11. When it exchanges a sequence of digits, given a number that is 27 less than the thinking number, find out which number I think.
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