P5 Problem Sums(a) – Jan’08

1. There were 1518 boys and girls in a room. When 2/3 of the boys and 1/5 of the girls left the room, there were twice as many girls as boys remained in the room.
(a) How many girls were there at first?
(b) How many boys were there at first?

2. There were some red, blue and green rubber bands in a box. 2/5 of the rubber bands in the box were red. There were 24 more blue than red rubber bands and 40 green rubber bands. How many rubber bands were there altogether?


3. Jason had a sum of money. He spent an equal amount of money each day. After 6 days, he had 3/5 of his money left. 3 days later, he had $360 left. What was the sum of money he had at first?


4. There were 156 men and women at a party. 1/6 of the men and 24 women left the party. There was an equal number of men and women at the party.
(a) How many men were at the party in the beginning?
(b) How many women were at the party in the beginning?


5. Sam, Jeff and Tom have some money. Sam and Jeff have $150 altogether. If Sam receives $30 more from his mother and Tom receives from his mother 2/3 of what Jeff has, they will have an equal amount of money.
(a) How much money does Sam have at first?
(b) How much money does Tom have at first?