Level 3
The average amount of money collected by a group of students at a flag day event was $125. When another 15 students turned up to help, the total amount donated increased by $1275 and the average amount of money collected became $113. How many students were there in the group at first?

Level 3
The average test score of a group of pupils was 57 marks. After 4 pupils who scored an average of 69 marks joined the group, the average score of all the pupils became 61 marks. How many pupils were there in the group at first?

Level 3
The average test score of a group of students was 71 marks. After five students who scored an average of 79 marks left the group, the average score of the group became 69 marks. How many students were there at first?

Level 3
In a class, 9 girls jumped an average of 1.37 m for their standing broad jump in their fitness test. The boys in the same class jumped an average of 1.65 m in the same test. The total average of the whole class was 1.56 m. How many boys were there?

Level 3
The average height of a group of boys was 143 cm. After 6 girls with a total of 948 cm joined the group, the average height of all the children increased to 146 cm.

1. What was the average height of the girls?
2. How many boys were there in the group?

Level 3
Lizzy bought some souvenirs for her friends at an average price of $12.50. If Lizzy decided to buy a pen which cost $16 for her father and a bag which cost $35 for her mother, the average price of the souvenirs would become $15.75. How many souvenirs did Lizzy buy for her friends?

Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent ¹₄ of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.

1. What was the cost of 1 sandwich?
2. Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?

Level 3
Minzy bought some pouches and bags for her friends. The price of each pouch was $2.40 while the price of each bag was $10.80. For every 4 bags bought, she was given one such pouch for free. After receiving the free pouches, the number of pouches was ¹₃ of the number of bags bought. If Minzy paid a total of $1584, how much more did she pay for the bags than the pouches?

Level 3
A pen cost $1.50. A notebook cost $15.50 more than the pen. Clare spent $340 on such pens and notebooks. She bought twice as many pens as notebooks.

1. How many notebooks did Clare buy?
2. How much money did Clare spend on the pens?

Level 3
Hazel had $18.60 in coins. She had four times as many 10-cent as 50-cent coins and 11 more $1 coins than 50-cent coins. How many coins does she have in total?

Level 3
3 pupils shared the cost of a present equally. When calculating the amount each pupil had to pay, a mistake was made. The cost of the present was divided by 4 instead of 3. Each pupil ended up paying $3.90 less than the correct amount. What should be the correct amount for each share?

Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.

Level 3
Daniel saved some 50-cent coins and $1 notes in his coin box. The total value of the 50-cent coins to the total value of the $1 notes he had was in the ratio 2 : 5. After $14 worth of 50-cent coins and an equal value of $1 notes were added to the coin box, the ratio of the total value of 50-cent coins to the total value of $1 notes became 5 : 9. How many of each type did Daniel have in the end?

1. 50-cent coins?
2. $1 notes?

Level 3
Olivia bought 3 home theater systems and 6 toasters. Each home theater system costs $280 more than each toaster. She spent 20% of her money on the toasters.

1. How much did each home theater system cost?
2. How much did she spend altogether?

Level 3
Tabitha wanted to buy some cookies and brownies. The cost of a cookie was ³₄ the cost of a brownie. A set of 3 cookies and 2 brownies cost $5.10. What was the total amount Tabitha had to pay for 17 cookies and 10 brownies?

Level 3
In an envelope, there were a total of 144 notes. 75% of them were $1-notes. The rest were $2-notes. Neave took out some $1-notes. As a result, the remaining $1-notes made up 25% of the notes left in the envelope. Find the total value of the $1-notes Neave took out from the envelope.

Level 3
There are 80 participants in a competition. The average score of each participant is 49.5. The average score of the female participants is 57 and the average score of the male participants is 47.

1. What is the total score of the 80 participants?
2. How many female participants are there in the competition?

Level 3
On 1 May to 4 May, an average of 50 waffles were sold and from 5 May to 9 May, an average of 24 waffles were sold. $240 worth of waffles were sold from 10 May to 20 May. Given that a waffle was sold for $2, find the average number of waffles sold from 1 May to 20 May.

Level 3
In a dance audition of 80 dancers, the average score was 58.5 points. Given that the average score of the female dancers was 64 points and that of the male dancers was 56 points, find the number of male dancers who participated in the audition.