Fractions + natural numbers - math problems

Number of problems found: 34

Reminder and quotient
There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1,
Unknown number
If I reduced the sum of the numbers 70 and the unknown number three times, I would get 100. what is the unknown number?
Fraction
Fraction ? write as fraction a/b, a, b is integers numerator/denominator.
Drawing from a hat
When drawing numbers from a hat from 1 to 35, we select random given numbers. What is the probability that the drawn numbers will be divisible by 8 and 2?
Balls
From the bag with numbered balls (numbers 1,2,3,. ..20) we pick one ball. What is the probability of choosing a number containing 1?
Ratio
Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order.
Milk crates
A farmer sells milk in crates that hold 15 bottles. She has 34,125 bottles of milk. How many crates can the farmer fill?
Steps
Peter walked a distance of 60 m 102 steps. How many steps must he take to walk 150 m?
Prime divisors
Find 2/3 of the ratio of the sum and the product of all prime divisors of the number 120.
Adding
Divide number 135 into two additions so that one adds 30 more than 2/5 of the other add. Write the bigger one.
Numbers
Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum?
Homework
In the crate are 18 plums, 27 apricot and 36 nuts. How many pieces of fruit left in the crate when Peter took 8 ninth: 1. nuts 2. apricots 3. fruit 4. drupe
Library
New books were purchased for the library. Five-eighths were professional books, one-fifth were encyclopedias, and 231 books were dictionaries. How many professional books were there?
Candies
There are 150 candies in the bowl. Ivan took 7 thirtieths, Charles 6 fifteenths, and Thomas 3 tenths. How many sweets are left in the bowl?
Three machines
The power of the three machines is 2: 3: 5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours?
Proportion 3
For every 8 mango trees in the orchard, there are 4-star apple trees. If there are 1320 trees, how many trees of each kind are there?
Camp
In the camp are children. 1/2 went on a trip, 1/4 went to bathe and 38 children remained in the room. How many children are in camp?
Ornamental shrubs
Children committed to plant 240 ornamental shrubs. Their commitment however exceeded by 48 shrubs. Write ratio of actually planted shrubs and commitment by lowest possible integers a/b.
Reminder and quotient
There are given numbers A = 135, B = 315. Find the smallest natural number R greater than 1 so that the proportions R:A, R:B are with the remainder 1.
The number 72
The number 72 increase by 25%. By how much % will you have to reduce the number you created to get the number 72 again?