Nanyang Pri Sch P6 CA1 2008 Math 48

Sean and Tim had some money at first. Sean gave Tim $60 and both of them had the same amount of money. If Tim were to return $54 to Sean, the ratio of Sean’s money to Tim’s money would be 5:2.

a) How much money did Sean have at first?
b) What is the ratio of Sean’s money to Tim’s money at first?

Solution



1.5 units ----- $54
1 unit ----- $54 divided 1.5 = $36

a)
Sean at first
3.5 units + $60
= (3.5 x $36) + $60
= $126 + $60
= $186
Answer: Sean had $186 at first.

b)
After Sean gives Tim $60, but before Tim returns $54:-
Sean ----- $126
Tim ----- $126

At first,
Sean ----- $186
Tim ----- $126 - $60 = $66

Sean : Tim
186 : 66
31 : 11

Answer: The ratio was 31 : 11.