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Nicky withdrew 3/5 of his savings. He spent 1/4 ofthe amount on a watch and 5/6  of the remainder on a portable DVD player. He then had $30 left.



(a) How much did he spend on the watch?

(b) How much was his savings at first?

 Aug 5, 2023
 #1
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Call the original  amount in his savings, S

 

Amt he spent on the watch =  (1/4)(3/5)S = (3/20)S

He has (3/5)S - (3/20)S =  (9/20)S   left

Amt he spent on the DVD player =  (5/6) ( 9/20)S =  (9/24)S

 

So

 

(3/5)S - amt on watch - amt on DVD player  = 30           ......in equation form......

 

(3/5)S -  (3/20)S - (9/24)S = 30

 

[ 72 - 18 - 45 ] / 120 S   = 30

 

[ 9] /120 S  =  30

 

S = (120 * 30) / 9 =  $400 = amt of original savings

 

Amt spent on watch = (3/20)(400)  =   $60

 

cool cool cool

 Aug 5, 2023

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