Benny had 80% as many stamps as Mark. After Benny gave away 20% of his stamps and Mark gave away 30% of his stamps, Benny had 30 fewer stamps than Mark.
a)How many stamps did Benny have at first?
b)How many stamps did Mark have in the end?
Answers
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let stamps of Mark be x.
then stamps of Benny are 80x/100=4x/5 stamps
Stamps of Mark after giving away =x-3x/10=7x/10
Stamps of Benny after giving away =4x/5-(20/100)×4x/5=
4x/5-4x/25=16x/25.
As per the problem ,Benny had 30 fewer stamps than Mark.
=>16x/25=7x/10-30=>x=500 stamps.
Benny has 400 stamps at first.
Mark has 350 stamps at the end
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