System of equations - math word problems - page 96 of 107
Number of problems found: 2125
- 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 - Blackjack TU160
Bomber Tupolev TU160 started at 9:00 from the airport and flew at an average speed of 1850 km/h toward Airfield B, a distance of 3500 km. After evaluating the danger from the airport, B started at 9:45 B towards A fighter MIG 29 at an average speed of 230 - Toys
The toy shop sold the same number of balls for 62 CZK and skipping ropes for 34 CZK. Their income was 576 CZK. How many sold balls, and how many skipping ropes?
- Apartments
The apartment on the first floor was 10% more expensive than the same apartment on the second floor. The difference was 105 Kc annually. Calculate the apartment's annual rent on the first floor and from the apartment on the second floor. - Trickster
Figliarko has 13 cents less than Hana. Together they have 57 cents. How many cents has Hana, and how many Figliarko? - Candies
If Alena gives Lenka, 3 candies will still have one more candy. If Lenka gives Alena 1 candy, Alena will have twice as much candy as Lenka. How many candies have each of them? - 3 days
The worker checked 2,950 products in 3 days. The second day checked 25% more than the first day. On the third day, 15% more products than on the second day. How many products does he check in each day? - The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall?
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