Question

ms. bush wants to set up the league so that each team pays the least amount. should there be 6 or 9 teams? should each baseball cost $3 or $4? explain

Answer 1

To have each team pay the least amount in Ms. Bush's league, more teams would typically reduce the cost per team, and choosing cheaper baseballs would minimize expenses. However, choosing the optimal number of teams and the price per baseball requires additional context.

Step-by-step explanation:

Ms. Bush is looking to form a league where each team pays the least amount possible. To determine whether there should be 6 or 9 teams and if each baseball should cost $3 or $4, we would need additional information regarding how these factors relate to the overall cost per team. Without that information, we cannot make an accurate conclusion. Generally, if more teams share a fixed cost, the cost per team can be reduced. Likewise, choosing the cheaper cost for baseballs will lower expenses.

For instance, if Ms. Bush has a fixed cost of $120 for a service needed by all teams, having 9 teams instead of 6 would reduce the individual team cost from $20 ($120/6) to around $13.33 ($120/9). Similarly, if a team needs 10 baseballs, they would pay $30 at $3 per baseball, compared to $40 at $4 per baseball.

Thus, it generally makes sense to have more teams to reduce the cost per team and to go with the cheaper option for baseballs to minimize expenses. However, the final decision should address other factors such as league size preferences and the quality of the baseballs.

Answer 2

To minimize the cost per team, Ms. Bush should choose to have 9 teams in the league and select the baseballs that cost $3 each, because more teams mean lower cost per team and cheaper baseballs result in reduced total expenditure.

Step-by-step explanation:

To understand whether Ms. Bush should set up a league with 6 or 9 teams and whether each baseball should cost $3 or $4, we need to calculate which combination results in the lowest cost for each team. This question likely involves elementary principles of division and multiplication, important concepts in mathematics. Let's assume that the total cost for the league is fixed and that cost needs to be divided among all the teams. The fewer teams there are, the higher the cost per team will be. Similarly, if the cost of each item (in this case, a baseball) is lower, then the total cost for the teams will also be lower.

If we consider having 6 teams, the cost per team will be higher than if there are 9 teams, due to the fixed total cost being divided by a smaller number. Therefore, it would be more cost-effective to have 9 teams rather than 6 teams

When it comes to the cost of the baseball, a lower price would obviously mean a lower overall expenditure for the league. Thus, if the baseballs cost $3 each instead of $4, each team would have to pay less. So, Ms. Bush should opt for 9 teams and select the $3 baseballs for the least amount each team has to pay.