Question

Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance. They have had three local matches, b, c and d, and will attend a district match. District match points count for four 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, a, to advance. a equals T over 4 minus b minus c minus d a equals T minus b minus c minus d all over 4 a equals T plus b plus c plus d all over 4 a = 4(T − b − c − d)

Answer 1

4.0/5

41

Ashraf82

b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* Lets find b in terms of a , c , d , T

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b