21. Sohan has to deliver 4 dozen glasses to a customer.
He is paid 10 for every glass that is delivered intact
and fined 6 for every glass that he breaks. If he
is paid 352 for his work, how many glasses did he
break?
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Answer:
as per questions
4 dozen glasses means 4×12 =48
glasses
1 glass wroth 10
and break fine 6
let x be glasses delivered safe
and glasses break y
x+y=48 (1)
and x×10 value of safe glasses
y×6 value of broken glasses
x×10-y×6=352
10x-6y=352. (2)
multiple (1) by 6 add it into (2)
we get
6x+6y=288
10x-6y=352
16x=640
x=640/16
= 40
x+y=48
so by equation y is 8
x is no of safe glasses i.e 40
y is no of broken glasses i.e 8
8 glass he breaks
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