System of equations - math word problems - page 21 of 103
Number of problems found: 2050
- In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - Probability 63324
The shooter fired 100 times on the ground. He had four times more successful hits than failed hits. What was the probability of a hit in percent? - Combined 63284
There are white, red, and green candies in the package. The number of white and red candies is in the ratio of 1:3, and the number of red and green candies is in the ratio of 4:7. There are 20 more green candies than white and red combined. How many candi - Increased sides
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side a decreases by 1 cm at the same time, the area of the rectangle increas
- Sidewalk 63134
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy? - Enlarged 63034
Divide 130 nuts into two parts so that the smaller part is enlarged four times equals the larger part reduced three times. How many nuts are in the smaller pile? - Two-fifths 63014
We divided a certain amount of money between three people so that the first got two-fifths of what the second and third combined. The second got twice as much as the first. If the third received €750 less than the first, how much did each receive? - Conservationists 62994
Conservationists planted a total of 695 trees of three species. There were 65 spruces more than pine trees and the first three times less than pines. How many trees of each species were planted? - Father and son
A father's age is five years more than four times his son's age. In 5 years, he will be three times his son's age. How old is the son now?
- An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers. - Loaves 62663
They sold 452 loaves of bread in the store. They sold three times more black bread than white bread. How much white and black bread did they sell in the store? - Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers. - Average age
There are 20 students in the class. Several are 12 years old, and others are 13 years old. Find out how old is twelve when the average age of a class is: a) 12.5 years b) 12.75 years c) 12.3 years d) 12.35 years - Hens and rabbits
There are a certain number of hens and rabbits in a room. The number of feet of the hens exceeds the number of feet of the rabbits by 12, while the number of heads of the hens exceeds the number of the heads of the rabbits by 28. Then the number of hens a
- The same book
Alexander and Blanka bought the same book that had 240 pages. Blanka read four pages more a day than Alexander. Blanka read it before Alexander. Alexander read the book both weekend days longer. Using an equation or system of equations, calculate how many - Fifty-koruna 62454 Kryštof has 1,500 kroner in ten and 50 kroner coins in his piggy bank. There are five times as many ten-koruna coins as fifty-koruna coins. How many ten-crown coins does Kryštof have in his piggy bank?
- Colored balls
There are colored balls in the bag. One-third of them are blue, one-sixth are green, five-twelfths are yellow, and the remaining ten balls are red. How many yellow balls are in the bag? - Banknotes 62164 Lucas saved 120 banknotes. They were 5 and 10-euro banknotes. He found that he had saved € 820. How many banknotes were there?
- The sum 20
The sum of the first six terms of an arithmetic progression is 552, and the sum of the first two terms of the same is 200. Determine the sum of the first 15 terms.
Jana, Petra, and Andrea sent an SMS to Superstar. The number of messages they sent was in the ratio 4:3:2, with Andrea sending 35 fewer text messages than Jan and Peter combined. How many text messages did all 3 girls send together?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
