Question

Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have had three local matches and will attend a district match. District match points count for three times the number of points than local matches do. Choose the equation that would help Tisha find how many points they need to earn in the district match, b, to advance.

Answer 1

Answer:

$b=\frac{T-a-c-d}{3}$

b = (T - a - c - d) / 3

Step-by-step explanation:

Let T be the total number of points required to advance.

a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:

$T=a+c+d+3b$

Isolate b in order to find out how many points they need in the district match:

$T=a+c+d+3b\\3b=T-a-c-d\\b=\frac{T-a-c-d}{3}$

They need to score (T - a - c - d)/3, in the district match in order to win.