Apples and pears

Mom divided 24 apples and 15 pears to children. Each child received the same number of apples and pears - same number as his siblings. How many apples (j=?) and pears (h=?) received each child?

Correct answer:

j =  8
h =  5

Step-by-step explanation:

$$\begin{gathered} 24=2^3\cdot 3 \\ 15=3\cdot 5 \\ \text{GCD}(24,15)=3 \\ d=GCD(24,15)=3 \\ j=24\mathrm{/}d=24\mathrm{/}3=8 \end{gathered}$$

$h=15\mathrm{/}d=15\mathrm{/}3=5$

Try another example

Related math problems and questions:

• MO C–I–1 2018
  An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones.
• Children's home
  The children's home received a gift to Nicholas of 54 oranges, 81 chocolate figurines, and 135 apples. Every child received the same gift and nothing was left. a) How many packages could be prepared? b) what did the children find in the package?
• On Children's
  On Children's Day, the organizers bought 252 chewing gums, 396 candies and 108 lollipops. They want to make as many of the same packages as possible. Advise them what to put in each package and how many packages they can make this way.
• Trees in alley
  There are four trees in the alley between which the distances are 35m, 15m and 95m. Trees must be laid in the spaces so that the distance is the same and the maximum. How many trees will they put in and what will be the distance between them?
• The tickets
  The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
• Decompose
  Decompose into primes and find the smallest common multiple n of (16,20) and the largest common divisor D of the pair of numbers (140,100)
• Three friends
  Three friends had balls in ratio 2: 7: 4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together.
• LCD 2
  The least common denominator of 2/5, 1/2, and 3/4
• Lesson exercising
  The lesson of physical education, pupils are first divided into three groups so that each has the same number. The they redistributed, but into six groups. And again, it was the same number of children in each group. Finally they divided into nine equal g
• Birthdate
  Jane on birthday brought 30 lollipops and 24 chewing gum for their friends. How many friends has, if everyone receives the same number of lollipops and chewing gums? How much chewing gum and lollipops got any friend?
• Lcm of three numbers
  What is the Lcm of 120 15 and 5
• School books
  At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom?
• Apples 2
  How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples?
• Group
  A group of kids wanted to ride. When the children were divided into groups of 3 children, one remain. When divided into groups of 4 children, 1 remains. When divided into groups of 6 children, 1 remains. After divided into groups of 5 children, no one lef
• Florist
  Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses?
• Sponsor
  The children of the tennis school received 64 white and 48 yellow balls from the sponsor. When asked about how many balls they could take, they were answered: "You have so many that none of you will have more than 10 balls and all will have the same numbe
• Sports students
  There are 120 athletes, 48 volleyball players, and 72 handball players at the school with extended sports training. Is it possible to divide sports students into groups so that the number in each group is the same and expressed by the largest possible num