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?

MaiaMitchell
Oct 3, 2015

#1**0 **

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

Guest Oct 3, 2015

#3**+5 **

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

CPhill
Oct 4, 2015