Level 3
Ruth spent $84 on some staplers, markers and files. The ratio of the amount of money she spent on the staplers, markers and files was 5 : 8 : 1. The markers were sold at 10 for $4. The number of staplers she bought was 12 the number of markers. The number of files she bought was 35 the number of markers. Find the price of 1 stapler.
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Level 3
A total of 846 white rulers and violet rulers are in a container. The ratio of white rulers to violet rulers was 1 : 2. Some pink rulers and yellow rulers were put into the container. For every 4 violet rulers that were already in the container, 14 yellow ones were added. Then the final number of white rulers and pink rulers was 12 the final number of violet rulers and yellow rulers. Find the total number of pink and yellow rulers.
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Level 3
England and Thailand took part in Youth Games. From England, the ratio of the number of male supporters to the number of female supporters was 1 : 3. From Thailand, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from England was 25 the total number of supporters from Thailand.
  1. What was the ratio of the number of male supporters from England to the total number of male supporters from both countries? Express the answer in the simplest form.
  2. After 1956 male supporters from both countries left, the percentage of all the female supporters became 74%. How many more female supporters from Thailand than England were there at first?
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Level 3
Tim had 672 coins. 27 were pink and the rest were yellow and blue. The ratio of the number of yellow coins to the number of blue coins was 1 : 3. Tim decided to buy some more pink coins to increase the number of pink coins to half of the total number of coins.
  1. How many less yellow coins than pink coins did he have at first?
  2. How many more pink coins did he have to buy?
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Level 3
The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 20% of the biscuits in Container H and 0.6 of those in Container J were round. After transferring the biscuits between the 2 containers, the number of square biscuits in both containers are the same. Likewise, the number of round biscuits in both containers are the same. If a total of 162 of biscuits were moved, how many more biscuits were there in Container H than Container J at first?
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Level 3
Mrs Yap had 40% more books than Mdm Zhang. Miss Lin had 20% fewer books than Mrs Yap. Mrs Yap and Mdm Zhang gave Miss Lin some books in the ratio of 1 : 4. As a result, Miss Lin had 50% more books than before. Given that Miss Lin had 423 more books than Mdm Zhang in the end, how many books did Mrs Yap give to Miss Lin?
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TRY FOR FREE
Level 3
Zoe had some yellow stickers and pink stickers in 2 baskets. In Basket A, the ratio of the number of yellow stickers to pink stickers was 6 : 5. In Basket B, the number of yellow stickers was 2 times the number of pink stickers. Zoe transferred 25 of the pink stickers from Basket A to Basket B. The number of stickers in Basket A became 144 and the ratio of the number of yellow stickers to pink stickers in Basket B became 6 : 7.
  1. How many pink stickers were transferred from Basket A to Basket B?
  2. What was the number of stickers in Basket B after the transfer?
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Level 3
Sarah bought a total of 300 big and small candies. Then she decided to exchange 60% of her big candies for the small ones in the ratio of 3 : 5. After the exchange, she had 366 candies. What percentage of the candies she bought were small ones?
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Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is 14 of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.
  1. What is the largest possible amount of money Vincent has?
  2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.
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Level 3
The total number of beads in Basket W, Basket X and Basket Y was 273. 29 of the beads from Basket W and 21 beads from Basket X were removed. More beads were then added into Basket Y until the number of beads in it was doubled. The ratio of the number of beads in Basket W to Basket X to Basket Y became 7 : 2 : 2.
  1. How many more beads were there in Basket W than Basket X at first?
  2. Find the total number of beads in Basket W and Basket Y in the end.
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