Team A and Team B play in a competition.
Team A has twelve more points than Team B.
Team A has five times as many points as Team B.
How many points does each team have?
Answer:
Team A has 15 points and Team B has 3 points
Solution:
Given that Team A and Team B play in a competition
Let "a" represent points of team A
Let "b" represent points of team B
Given that Team A has twelve more points than Team B
So we can frame a equation as:
points with team A = 12 + points with team B
a = 12 + b --- eqn 1
Also given that Team A has five as many points as Team B
So we can frame a equation as:
points with team A = 5(points with team B)
a = 5b --- eqn 2
Substitute eqn 2 in eqn 1
5b = 12 + b
4b = 12
b = 3
Therefore from eqn 2,
a = 5b = 5(3) = 15
Thus team A has 15 points and Team B has 3 points