+10 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?
+129881 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
