Ratio of total goals scored by Messi against teams A to B is 3: 5 and the ratio of goals scored by Messi against teams B to C are 3: 2. If the difference between goals scored by him against A and C is 5, then find the total number of goals scored by Messi against all the three teams together.
a) 180
b) 210
c) 170
d) 190
e) 160
Sol:
Let goals scored by Messi against A and B be
‘3x’ and ‘5x’ respectively.
Total goals scored again team C = 5x * (2/3) =
10x/3
According to the question:
𝑥/3= 5
x = 15
Total number of goals scored by Messi against
all the three teams together = 3x + 5x + (10x/3) =
45 + 75 + 50 = 170
