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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
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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
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Hallo MM

laugh

Omi67  Oct 3, 2015
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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

 

 

cool cool cool

CPhill  Oct 4, 2015

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