P6 Problem Sums (Dec’12)

P6 Problem Sums (Dec’12)
 1. Tammy and Sally shared some money in the ratio 4:3. If Tammy gave $150 to Sally, they would have the same amount of money. How much money did they have altogether?

 2. The ratio of the number of teddy bears Mei Mei had to that of the number Jane had was 3:7. Jane had 24 more teddy bears than Mei Mei. Jane gave some teddy bears to Mei Mei and the ratio of Mei Mei’s teddy bears to Jane’s teddy bears became 5:7. How many teddy bears did Jane give to Mei Mei?

3. Last year, the ratio of the number of boys to the number of girls in the Speech and Drama Club was 1:2. This year, 170 members joined the club. There are now 5 times as many boys and 4 times as many girls as last year. How many members were there in the Speech and Drama Club last year?

 4. Five friends met at a reunion dinner. Each friend hugged each of the other friends just once. How many hugs were exchanged in all?

 5. There were 78 three-legged and four-legged stools in Carpenter Calvin’s storeroom. There were 259 legs in all. Find the number of three-legged stools and four-legged stools.

 6. There are 250 bicycles and cars in the car park. There are a total of 936 wheels. How many cars and how many bicycles are there in the car park?

 7. Mrs Li sold 18 watermelons and 26 honeydews. She collected $160 from the sale. The selling price of a honeydew is one-third that of the selling price of a watermelon. How much did Mrs Li sell for each honeydew and for each watermelon?

 8. Bob and Carl have some sweets each. If Bob eats 5 sweets each day and Carl eats 10 sweets each day, Bob will have 46 sweets left when Carl finishes all of his. If Bob eats 10 sweets each day and Carl eats 5 sweets each day, Bob will have only 1 sweet left when Carl finishes all his sweets. How many sweets does each boy have?

 9. Ming and Ling have some Mathematics problems to solve. If Ming can solve 6 questions each hour and Ling can solve only 3 each hour, Ling has 21 questions left when Ming completes his. If Ming can solve 4 questions each hour and Ling can solve 8 questions each hour, Ling has 3 questions left when Ming solves all his problems. How many Mathematics problems does each of them need to solve?

 10. Sally and Sandy sell toys. If Sally sells 30 toys each week and Sandy sells 90 toys each week, Sally will have 237 toys left unsold when Sandy has sold all her toys. If Sandy sells only 15 toys each week and Sally still sells 30 toys each week, Sally will have 87 toys left unsold when Sandy has sold all of hers. How many toys does each of them have?