P5 Fractions (4) Quiz

Lionel and Shane shared some money.
If Lionel gives 1/3
of his share to Shane, Shane will have $50 more than Lionel.If Lionel gives 1/5
of his share to Shane, Shane will have $50 less than Lionel.

How much is Shane’s share of the money?

Happy School is holding its annual concert at Victory Theatre. 2/3
of the seats are Gold seats at $12 per seat and 1/4
of them are Platinum seats at $32 per seat. The rest are VIP seats at $60 per seat.
All the tickets are sold with a total collection of $22 500.
How many Gold seats are there?

Alice went to Adventure Land.
She paid $4 for her bus fare and 3/5
of her balance on the entrance ticket. She had 3/8
of her money left.

How much was the entrance ticket to Adventure Land?

Jamie and Trevor weigh 133 kg altogether.
1/3 of Jamie’s mass is 7 kg more than 1/4
of Trevor’s mass.

What is Jamie’s mass?

A double-decker bus left the interchange with a full load of passengers.
When it reached the first stop, 1/4
of the passengers alighted and 27 boarded.

At the next stop, 1/7
of the passengers who were on the bus at that time

alighted and 4 boarded.
At the third stop, 1/8
of the remaining passengers alighted.

As a result, there were 98 passengers.
What is the maximum number of passengers that the bus can carry?