Jordan

Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy no more than 6 cookie cakes and Jordan must share the cakes equally between his classmates (and himself). Answer the questions to help Jordan decide how many cakes to ask for. Use a model and an equation to support each question. If Jordan asks his mom for one cookie cake, what fraction of the cake will each classmate get?

Correct result:

f =  0.25

Solution:

$$\begin{gathered} n=23+1=24 \\ 0<c<7 \\ 6=2\cdot 3 \\ 24=2^3\cdot 3 \\ \text{GCD}(6,24)=2\cdot 3=6 \\ c=GCD(6,n)=GCD(6,24)=6 \\ f={\displaystyle \frac{c}{n}}={\displaystyle \frac{6}{24}}={\displaystyle \frac{1}{4}}=0.25 \end{gathered}$$

Try another example

Showing 0 comments:

Related math problems and questions:

• 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?
• Tissues
  The store got three kinds of tissues - 132 children, 156 women and 204 men. Tissues each species were packed into boxes after the number of pieces the same for all three types (and greatest). Determine the number, if you know that every box has more than
• 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?
• Florist
  Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses?
• Dividing
  Divide the three line segment 13 cm, 26 cm and 19.5 cm long for parts so that the individual parts were equally long and longest. How long will the individual parts and how many it will?
• Seedcake
  Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros?
• Bundle of candies
  In the store has 168 chocolates, caramel candies 224 and 196 hard candies. How many packages we can do and how many of candies will be in each package?
• Jerry
  Jerry has 3/4 of a pizza. He needs to share it with 6 friends. What fraction of the pizza will each friend get? Only write the fraction
• Family party
  Anna has 5 €, Anezka has 4,60 € and for all the money they want to buy desserts for a family party. They decide between cakes and pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third more
• The King
  The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them?
• Examination 2
  In an examination, a teacher awards 2 marks for every correct answer and subtract a mark for every wrong answer. If there are 20 questions and a child scored 25 marks how many correct answer did the child get?
• Quotient
  Find quotient before the bracket - the largest divisor 51 a + 34 b + 68 121y-99z-33
• Equivalent expressions
  A coach took his team out for pizza after their last game. There were 14 players, so they had to sit in smaller groups at different tables. Six players sat at one table and got 4 small pizzas to share equally. The other players sat at the different table
• 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
• Cents no more
  Janko bought pencils for 35 cents each. Neither he nor the salesperson had small coins just a whole € 1 coin. At least how many pencils had to buy to pay for the whole euros?
• Square gardens
  The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the side length of the square.
• Groups
  In the 6th class there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group?