The park district is starting a new softball league. The table shows how many coaches will be needed, depending on how many
players sign up.
Players 20 35 50
Coaches 4 7 10
Using the proportional relationship in the table, how many
coaches will be needed for 80 players?
A8
16
21
40

16

Step-by-step explanation:

Since there is always a certain amount of coaches per # of players we have to find that. If there are 20 players and 4 coaches that means 5 players per coach. if there are 35 players and 7 coaches that means again 5 players per coach. Therfore we know that 5 players per coach is constant. If we have 80 players we set up a proportion to solve. 80players / x coaches = 5 players per/ 1 coach. Cross multiply and solve. 80=5x

2

step-by-step explanation:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15