In a Mathematics test, Bala scored 5/6 of Calvin's score and Calvin scored 8 more marks than Dan. If the average score of the 3 boys is 88, what is Calvin's score?
In a Mathematics test, Bala scored 5/6 of Calvin's score and Calvin scored 8 more marks than Dan. If the average score of the 3 boys is 88, what is Calvin's score?
Calvin's score=96
Bala's score =80
Dan's score =88
In a Mathematics test, Bala scored 5/6 of Calvin's score and Calvin scored 8 more marks than Dan. If the average score of the 3 boys is 88, what is Calvin's score?
Here's a way to solve this in one variable :
Let x be Calvin's score
Let x - 8 - Dan's score
Let (5/6)x = Bala's score ....... and we have
[ (5/6)x + x + x - 8] / 3 = 88 nultiply both sides by 3
(5/6)x + 2x - 8 = 264 add 8 to both sides, simplify the left side ....2x = (12/6)x
(17/6)x = 272 nultiply both sides by 6/17
x= 272(6/17) = 96 = Calvin's score