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 and got 6 small pizzas to share equally. Afterward, one of the players said it wasn't fair because some kids got more pizza than others. Do you agree? (Write yes=1, no=0) Use numbers, words or labeled sketches to explain your answer.

Correct answer:

x =  1

Step-by-step explanation:

$$\begin{gathered} a=4\mathrm{/}6={\displaystyle \frac{2}{3}}\doteq 0.6667 \\ b=6\mathrm{/}(14-6)={\displaystyle \frac{3}{4}}=0.75 \\ a<b \\ x=1=1 \end{gathered}$$

Try another example

Showing 2 comments:

Dr Math

Yes, the first group ate a smaller piece of pizza than the second group.

2 years ago  Like

Matematik

thx for this!

10 months ago  Like

Related math problems and questions:

• Pizza palace
  Josh is at Enzo's pizza palace. He can sit at a table with 5 of his friends or at a different table with seven of his friends. The same size pizza is shared equally among the people at each table. At which table should Josh sit to get more pizza? (write a
• Pizzas
  Billy ate 1 1/4 pizzas and John ate 1 2/3 pizzas. How much more pizza did John eat than Billy?
• Pizza 4
  Marcus ate half pizza on monday night. He than ate one third of the remaining pizza on Tuesday. Which of the following expressions show how much pizza marcus ate in total?
• A small
  A small book took one-sixth of a ream of paper to make. The team said they can make nine books from 3 whole reams of paper. Are they correct?
• 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
• Birthday party
  Jay brought 2 pizzas for his birthday party. At the birthday party, they eye 1 4/7 pizzas . What’s the fraction of pizzas they have left?
• Players - baseball
  There are 20 players on each of two baseball teams. If 2/5 of the players on team 1 miss practice and 1/4 of the players on team two miss practice, how many more players from team 1 missed practice then team 2?
• Pizza 5
  You have 2/4 of a pizza, and you want to share it equally between 2 people. How much pizza does each person get?
• Christmas
  Exactly after 114 hours, we sit down at the Christmas Eve table. What day and what time it was when Dad said this sentence. At the Christmas Eve table, they sit down exactly at the 18-o'clock (6 PM).
• 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.
• 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
• Carrie
  Carrie picked 2/5 of the raspberries from the garden, and Robin picked some too.  When they were finished, 1/3 of the raspberries still needed to be picked.  What fraction of the raspberries did Robin pick? Use pictures, numbers or words and write your fi
• 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
• The pet
  Ananya has a bunny. She bought 4 7/8 pounds of carrots. She fed her bunny 1 1/4 pounds of carrots the first week. She fed her bunny 5/6 pounds of carrots the second week. All together, how many pounds of carrots did she feed her bunny? 1. Draw a tape diag
• Quiz or test
  I have a quiz with 20 questions. Each question has 4 multiple choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to #1 = C, then it will always be equal
• Math test
  Brayden was solving some math problems for the math team. He answered 2 math problems. Matthew answered 3, John answered 1 reasoning. Matthew 1/2 times as many. Brayden said that 2/6. Is he correct? Why or why not? Be sure to explain your answer.
• Equivalent expression
  Pablo rewrites the expression 8y-24 as 8(y-3). Hana rewrites 8y-24 as 2(4y-12). Are Pablo’s and Hana’s expressions each equivalent to 8y-24? Explain your reasoning.