There are 210 workers at the football stadium divided into 5 equal teams. How many workers are on each team? Deborah is making bead necklaces using 306 beads for 9 necklaces. How m... There are 210 workers at the football stadium divided into 5 equal teams. How many workers are on each team? Deborah is making bead necklaces using 306 beads for 9 necklaces. How many beads does she use for each necklace? Marsha says she can use 10 as the first three partial quotients when finding 261 ÷ 9. Do you agree or disagree? Explain your reasoning.
Understand the Problem
The question is asking how to distribute workers and beads evenly among teams and necklaces, respectively. It requires basic division to find out the number of workers on each team and the number of beads per necklace.
Answer
Workers per team: $42$; Beads per necklace: $34$.
Answer for screen readers
For the workers' distribution: 42 workers per team.
For the beads' distribution: 34 beads per necklace.
Steps to Solve
- Determine the number of workers per team
To find out how many workers are on each team, divide the total number of workers by the number of teams.
[ \text{Workers per team} = \frac{210 \text{ workers}}{5 \text{ teams}} ]
- Calculate the result of the division
Perform the division:
[ \frac{210}{5} = 42 ]
So, there are 42 workers on each team.
- Determine the number of beads per necklace
Now, to find out how many beads Deborah uses for each necklace, divide the total number of beads by the number of necklaces.
[ \text{Beads per necklace} = \frac{306 \text{ beads}}{9 \text{ necklaces}} ]
- Calculate the result of the second division
Perform the division:
[ \frac{306}{9} = 34 ]
So, Deborah uses 34 beads for each necklace.
For the workers' distribution: 42 workers per team.
For the beads' distribution: 34 beads per necklace.
More Information
In total, there are 210 workers divided evenly among 5 teams, resulting in 42 workers per team. Similarly, Deborah has 306 beads to distribute evenly across 9 necklaces, resulting in 34 beads per necklace.
Tips
- Failing to perform the division correctly; always double-check calculations.
- Misunderstanding the requirement for equal distribution among teams or necklaces.
