There is one bus driver, two coaches, and three teams, each with four dancers going to a competition. Nia writes the expression 1 + 2 + 3 ∙ 4 to represent everyone that will be on the bus and solves it using the following steps:
1 + 2 + 3 ∙ 4
= 3 + 3 ∙ 4
= 6 ∙ 4
=24
A. Nia concludes that 24 people will be on the bus going to the competition. Describe the mistake Nia made when solving her expression. Then write an explanation and draw a picture to help Nia understand how to solve her expression correctly.
B. How would you write this expression if n represents the number of teams?
C. How would this expression be different if there were two coaches for each team? Write an expression and draw a picture to support your expression.