Level 3
In October, the ratio of boys and girls in a school's rifle club was 4 : 7. In November, 68 new members joined the club. As a result, the ratio of boys to girls in the club became 4 : 3. There were 64 boys in the club in October. How many of the new members were girls?

Level 3
In a pouch of notes, the number of $2, $5 and $10 are in ratio of 5 : 4 : 6. ¹₅ of the $2-notes and 15 $5-notes are taken out. The remaining notes are worth $541. Find the difference between the value of $10-notes and $2-notes in the end.

Level 3
A fruit seller had apples and durians. The ratio of apples to durians was 5 : 3. After ³₄ of the apples and 38 durians were sold, there were 2 times as many apples as durians left. How many apples and durians were there at first?

Level 3
Cathy, Zoe and Ruth went shopping together. They brought a total of $1633 with them. Cathy spent 50% of her money. Zoe spent $224 and Ruth spent twice as much money as Cathy. In the end, they had $785 left. How much money did Zoe and Ruth have altogether in the end?

Level 3
Sean and David had some allowance in the ratio of 3 : 7. They shared some money to buy a bracelet for their cousin. The ratio of the amount paid by Sean to the amount paid by David was 1 : 2. If David was left with $176 and Sean had spent ¹₄ of his money, how much was the bracelet they bought?

Level 3
A store owner had coconuts and papayas. The ratio of coconuts to papayas was 5 : 2. After ¹₂ of the coconuts and 18 papayas were sold, there were 2 times as many coconuts as papayas left. How many coconuts and papayas were there at first?

Level 3
Liam had ⁵₇ as many 20-cent coins as 1-dollar coins in his piggy bank. Each time, four 20-cent coins and six 1-dollar coins were taken out from the piggy bank. In the end, only seven 20-cent coins and four 1-dollar coins were left in the piggy bank. How many more 1-dollar coins than 20-cent coins were there in the piggy bank at first?

Level 3 PSLE
Ruth bought some lollipops and gave half of it to Asher. Asher bought some sweets and gave half of it to Ruth. Ruth ate 17 sweets and Asher ate 31 lollipops. The ratio of Ruth's sweets to lollipops became 1 : 5 and the ratio of Asher's sweets to lollipops became 1 : 3. How many sweets did Asher buy?

Level 3
A bag had some violet erasers and yellow erasers in the ratio of 3 : 1. Queenie removed 35 violet erasers and put another 15 yellow erasers into the bag. There is now 50% as many violet erasers as yellow erasers in the bag. How many violet erasers were in the bag at first?

Level 3
A fruit seller sells only soursops and avocados. The ratio of soursops to avocados is 5 : 4. A total of 68 fruits are added. The number of soursops becomes 2 times as many as before and the number of avocados becomes 4 times as many as before. How many fruits are there in the end?

Level 3
³₄ of Eva's money was equal to ¹₂ of Anna's money at first. After Eva spent $1.70 and Anna spent $0.70, Eva had ³₅ as much money as Anna.

1. How much did Anna have at first? Express the answer(s) in 2 decimal places.
2. How much did Eva have in the end? Express the answer(s) in 2 decimal places.

Level 3
¹₄ of the number of sheep that Farmer Yang head was equal to ²₅ of the number of sheep that Farmer Tan had. When Farmer Yang sold 300 of his sheep and Farmer Tan bought another 40, the ratio of the number of sheep that Farmer Yang had to the number of sheep Farmer Tan had 7 : 5. What was the total number of sheep that the 2 farmers had at first?

Level 3
Will, Xavier and George had a total of 670 pens. The ratio of the number of pens Xavier had to the number of pens George had was 4 : 5. After Will and Xavier each gave away half of their pens, the 3 children had 395 pens left. How many pens did Xavier and George have at first?

Level 3
The ratio of the amount of money that Anna and Yvonne brought along was 4 : 5. For a friend's birthday present, Anna and Yvonne shared the cost in the ratio of 2 : 3. Anna used up ²₅ of her money to pay for her share. After paying for her share, Yvonne had $78 left. How much was the birthday present?

Level 3
Rael, Peter and Zane had a total of 839 erasers. The ratio of Peter's erasers to Zane's erasers was 4 : 3 at first. Rael and Peter each gave away ¹₂ of their erasers. Given that the three boys had 502 erasers left, how many erasers did Rael have at first?

Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If ²₃ of the pail is filled with water, find

1. the volume of the pail.
2. the minimum number of such pails to fill the tank.

Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, ²₅ of it is filled. Find the height of the tank.

Level 3
The total volume of water in Watering Can A, Watering Can B and Watering Can C was 205 mℓ. I poured out half the volume of water from Watering Can A, doubled the amount of water in Watering Can B and added 55 mℓ of water into Watering Can C. The ratio of the volume of water in Watering Can A to Watering Can B to Watering Can C is now 5 : 4 : 8. Find the total volume of water in the three watering cans now.