Level 3
The average mass of a group of girls is 45 kg. If one more girl who weighs 75 kg joins the group, the new average mass of the group will become 48 kg. Find the total number of girls in the group.
3 m
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?
4 m
Level 3
The auditorium had 1050 seats. There were 25% fewer $40-seats than $5-seats. 50% of the $5-seats and some $40-seats were sold. A total of $16180 was collected. How many seats were unsold?
4 m
Level 3
The average number of pages Joan read in a certain number of days was 15. In the next four days, Joan read another 88 pages. As a result, the average number of pages she read increased to 17. How many days did Joan read in total?
3 m
Level 3
Luis drew lines to form triangles and stars. He drew 7 more triangles and stars. The number of lines drawn for the triangles was the same as the number of lines drawn for the stars. What fraction of the shapes that Luis had drawn were stars?
3 m
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?
4 m
Level 3
One minute ago, 80% of the students in a parade square were girls. 143 more students entered the parade square. As a result, the number of girls increased by 40% and the number of boys increased by 60%. How many students are in the parade square now?
4 m
Level 3
Entrance tickets to the concert are $8 each for adults. The ticket for a child costs 25% less. Last Sunday, 10% of the tickets sold were for children and the total sales of the tickets was $3900. How many of the tickets sold were for adults?
4 m
Level 3
The average test score of a class was 60 marks. After two students who scored an average marks of 96 marks transferred out of the class, the average score of the remaining students became 58 marks. How many students were there in the class at first?
3 m
Level 3
Eva's salary is 30% more than Betty's salary. When their salaries are increased by 60%, their combined salaries will be $11040. How much was Eva's salary before the increase?
4 m