Maths Problems 8 Aug 09

1. Three girls Anne, Betty and Carrie had 288 badges altogether. Anne gave some of the badges to Betty and Betty’s badges were doubled. Then Betty gave some of her badges to Carrie and Carrie’s badges were doubled. As a result, the three girls had an equal number of badges each. How many badges did each girl have at first? (4m)

2. In the beginning of the year, 80% of the pupils in a school were girls. When 530 new pupils were admitted to the school, the number of girls increased by 25% and the number of boys was doubled. How many pupils were in the school at first? (4m)

3. Four children, Arnold, Bernard, Carl and Darlene shared $720. Arnold received 1/2
of the total amount of money received by Bernard, Carl and Darlene. Bernard received 2/3 of the total amount of money received by Carl and Darlene. Carl received 3 times as much money as Darlene.
(a) How much money did Darlene receive? (3m)
(b) What fraction of Arnold’s money is Darlene’s money if Arnold gave $20 to Darlene? (1m)

4. Mrs Lim bought a total of 520 apples and oranges in the ratio 3 : 5. After she gave away an equal number of each type of fruits, the ratio of the number of apples left to the number of oranges left was 3 : 8. How many apples had she left? (3m)

5. Jackie has 50 fifty-cent and twenty-cent coins altogether. The value of the twenty-cent coins is $0.90 more than that of the fifty-cent coins. How many twenty-cent coins does he have? (3m)



JunYuan