Algebra - math word problems - page 311 of 312

Number of problems found: 6224

Mixture 2
How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution?
Birthday paradox
How large must a group of people be so that the probability of at least two people sharing a birthday is greater than 90%?
Average of average
Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t
Grandparent age average
The average age of the grandfather, grandmother, and their five grandchildren is 26 years. The average age of the grandchildren themselves is 7 years. Grandma is a year younger than grandpa. How old is grandma?
Squirrels
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, and the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from
Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice?
Ten cashiers
Ten cashiers are open at Tesco. Customers wait an average of 15 minutes. How many other cashiers have to open to reduce the waiting time by 4 minutes?
Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol did the pharmacy get?
Drinking water
A man drinks a barrel of water in 21 days, and a woman drinks in 43 days. How many days do they consume a barrel together?
Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%?
Father son painting
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself?
Pool drainage time
In a hotel pool, the pool manager drains the water through two identical drains every 10 hours. How much time would he save in draining the pool if the water was drained through three more drains at the same flow rate?
Painting time
One painter would paint the school in 15 days. Together with the second painter, they painted the school in 6 days. In how many days the second painter would have painted the school himself?
Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar with 30 participants?
Probability - on the roll
Find the probability that one will fall at least once in three rolls.
Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number.
Three shooters
Three shooters each fire once at the same target. The first hits the target with a probability of 0.7, the second with 0.8, and the third with 0.9. What is the probability of hitting the target: a) exactly once? b) at least once? c) at least twice?
Scalar products
The vectors a = (3, -2), b = (-1, 5) are given. Determine the vector c for which a. c = 17; b . c = 3
Test 10 questions
A test has 10 questions with multiple-choice answers. For the choice of the correct answer there are four options A, B, C, D, where always one of them is correct. How many are there all different possibilities for answers in this test, a) if its taker ans
Book Store
The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. Books of the same kind are to be placed beside each other. How many w

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