Algebra - math word problems - page 30 of 311

Number of problems found: 6219

Defect rate
A manufacturing machine has a 3% defect rate. If 9 items are chosen randomly, what is the probability that at least one will have a defect?
Solve R
Solve the equation with brackets: 5 × (2u − 9) − 8 × (0.5 − 3u) = 4 × (7u − 1) − 3
Quarter of some number
A quarter of an unknown number, increased by one hundred, equals fifty. What is the unknown number?
GP - free
For a geometric sequence, the following relationship between the first and third terms holds: a₁ − a₃ = −1.5 a₃ − a₁ = 1.5 Calculate the common ratio q and the first term a₁.
Nuts 8
Peter divided nuts between two friends. Each friend received a quarter of all the nuts plus two more nuts. Peter had two nuts left. How many nuts did he have originally?
To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors over these three days. How many visitors came on each day?
Red bouquet
A third of the flowers in a bouquet are red, and six are yellow. How many flowers are there in the bouquet in total? How many are red?
Unknown number x
If I multiply an unknown number by 4 and subtract 8.4 from the result, I get the same result as if I multiply the unknown number by 3 and add 15.1. Determine the unknown number. Write the result as a decimal.
MAT Test
Students wrote a maths test. 5/18 of the students received a grade of 2, 2/9 received a 3, and 1/6 received a 4. 12 students received a grade of 1. How many students wrote the maths test?
Reading a Book Faster
Jana received a new book. She wants to read it in 8 days. If she read 6 more pages a day, she would finish the book two days earlier. How many pages does the book have?
Concert organizers
800 people came to the concert, which was a quarter more than the organisers had expected. How many people did the organisers expect?
Animals - pasture
There are 195 animals in total on the pasture: sheep, goats, and calves. There are half as many sheep as goats and twice as many calves as goats. How many sheep are there on the pasture?
Counting Light Cars
There are 96 cars in a car park. There are 24 fewer dark-coloured cars than light-coloured cars. How many light-coloured cars are there in the car park?
TEV physical education
Students lined up in rows of three in a physical education class, and then in rows of four, and each time there was exactly one student left over. What is the minimum number of students that could be in the gym?
Swimming pool 5
There are 5,500 men, women, and children at a swimming pool. There are twice as many women as men, and four times as many children as women. How many men, women, and children are there at the swimming pool?
Imaginary number
If we add 120 to a certain number, we get 36 more than if we multiply the number by 5. Determine the number.
Total
How many trees are in an orchard if one seventh of all trees are cherry trees, one quarter are pear trees, half are apple trees, and the remaining 3 trees are plum trees?
Consecutive Numbers Sum
Can you find three consecutive whole numbers such that the sum of the first and third is 128?
Red and Blue Candies
The candy store sold two types of chocolate candies. Red for 8 Sk and blue for 6 Sk. We bought 20 candies for 136 CZK. How many candies are blue and how many red? We have red candies: We have blue candies:
Finding the Number
If I subtract 3/5 from it, I get 2/5. What number do I think?

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