1. 2 boxes X and Y, contained some beads. If 30 beads were transferred from Box X to Box Y, both boxes would have the same number of beads. If 18 beads were transferred from Box Y to Box X, Box X would have 4 times as many beads as Box Y. How many beads were there in Box X at first?
2. 3 containers P,Q and R had 162 buttons altogether. Some buttons were transferred from container P to container Q and the number of buttons in container Q becomes thrice its original number. Then some buttons were transferred fron container Q to container R and the number of buttons in container R becomes thrice its original number. As a result, the number of buttons in the 3 containers became equal. How many buttons were there in container P at first?
3. There were some marbles in X and Y. 1/5 of the marbles in Box Y were transferred to Box X. Then 1/3 of the marbles in Box X were transferred to Box Y. Finally, 1/3 of the marbles in Box Y were transferred to Box X. As a result, there were 115 marbles in Box X and 90 marbles in Box Y. How many marbles were in each box at first?
4. 4 children share a box of chocolate bars. The first child took 1/2 of the total bars of chocolate and 1/2 of a chocolate bar. The second child took 1/2 of the remaining bars and 1/2 of a chocolate bar. The third child took 1/2 of the remaining bars and 1/2 of a chocolate bar. The fourth child took the remaining 7 bars. How many bars of chocolate did the third child get?
5. 1/5 of the audience in a hall are women. 2/5 of the remaining audience are men. The rest are children. If there are 266 boys in the hall and the number of girls is twice as many as the number of boys, find the number of men in the hall.
6. The original amount of money Samuel had to the original amount of money Nigel had was 4:5.
After Samuel spent 5/9 of his money on clothing, 1/3 of it on gifts and gave $1500 to his mother, he had $560 left. What was the total amount of money both men had originally?
7. Nasir and Janice shared $86 .When Nasir spent 3/5 of his money and Janice spent 1/3 of her money,they spent $40.80 altogether.What was the sum of money that Janice received?
8. 0.2 of the blue caps and 0.5 of the red caps is equal to 38.
0.5 of the blue caps and 0.2 of the red caps is equal to 53.
What is the total number of blue and red caps?
