System of equations - math word problems - page 92 of 103
Number of problems found: 2050
- RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 269. Calculate the size of the sides of the triangle ABC.
- Coffee shop
The coffee shop brought two types of coffee total of 50 kg. The first type was CZK 220 per kilogram, and the second type was 300 CZK per 1 kg. All the coffee traders earned CZK 12,000. How many kilograms of coffee of the first type and how many kilograms
- Water reservoir
The water reservoir is filled through one inlet 4 hours later than both, then another 9 hours later. For how long is each filled out separately?
- Rabbit family
The rabbit family ate 32 pieces of carrots. The small one ate six pieces, and the dad five more than the mother. How many pieces did Mom eat?
- Height of the arc - formula
Calculate the arc's height if the arc's length is 65 and the chord length is 33. Does there exist a formula to solve this?
- Borrowed book
Jane must, as soon as possible, return a borrowed book. She figured that reading 15 pages a day return the book in time. Then she read 18 pages a day and then returned the book one day before. How many pages should a book have?
- Vacation
Parents are piggybacking their children on vacation to their grandmother and grandfather in a city that is 150 kilometers away. They agreed to meet halfway. Parents will travel at 90 km/h, and grandmother and grandfather will travel at 60 km/h. Parents de
- Three friends
Divide 570 euros among three friends so that the first gets 50 euros less than the second and the third twice more than the first. How many euros will everyone get?
- Scouts
Three scouts went on a three-day trip. On the second day went 4 km more than the first day. The third day went two times less than the first day. They went along 54 km. How many kilometers went every day together?
- Dollars
Mother split 760 dollars between Jane, Dane, and Eva: Jane got three times more than Dane and Dane and 40 dollars more than Eva. How much does each of them?
- Pytagoriade
Two fifth-grader teams compete in math competitions - Mathematical Olympiad and Pytagoriade. Out of 33 students in class 5A, 22 students competed in at least one of the competitions. Students who competed only in the Pytagoriade were twice as many who jus
- The book
If you read p pages daily, you will read the book for 24 days. If you read ten pages each day more, you would read a book in 16 days. How many pages have the book?
- Grandson and granddad
Grandson with Grandpa counted how many years they had together. Their product is 365. How many years is the sum of their years?
- Jane and Miro
Jane's brother Miro is 42 years old. He is three times as old as Jane when Miro was for as many years as there are now Jane. How old is Jane?
- Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in a ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the 1:1 and 50 grams ratio costs 60 CZK. How much cost 10 grams of a more expens
- Family parcels
The father will divide the land so that the older son has three bigger parts than the younger son. Later elder son gave a 2.5 ha field to the younger, and they had both the same. Determine the area of the family parcel.
- Following 1859
Solve the following linear equation in R: 4/10X + 2/10X + 1/6X + 1/10X + 400 = X
- RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs.
- Two cars
From A town started two cars to town B. The first begins at 7:00 at an average speed of 60 km per hour. The second car starts at 10:00 at an average speed of 100 km per hour. The first car will not stay in B, and on the way back, meet the second car halfw
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