Level 3
At a theme park, each adult ticket cost $25
and each child ticket cost $12.
On Monday, the number of adult tickets sold was 120 less than the number of child tickets.
On Tuesday, the number of adult tickets sold decreased by 10% while
the number of child tickets sold increased by 30%.
If a total of 816 tickets were sold on Tuesday,
how much money was collected on Monday?
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
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?
Level 3
During a telematch, each group of students was supposed to collect as many coloured candies as possible. Each colour represented a certain point as tabulated:
Yellow 3 points
Pink 6 points
Blue 7 points
In each container, the number of yellow candies was 20% more than the number of blue candies and 10% less than the number of pink candies. Given that the total possible points if the group managed to collect all the candies were 558 points, how many candies were not yellow in colour?
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
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?
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?
Level 3 15 of the guests at a stadium were women. 80% of the remaining guests were men and the rest were children. The number of men was 476 more than the total number of women and children. After some men left the stadium, 20% of the guests that remained were men. How many men left the stadium?
Level 3
Madam Lin packed some stickers for a party. She packed 34
of the stickers into 6 blue bags and the rest into 26 violet bags. There were 90 stickers altogether in 1 blue and 2 violet bags. How many stickers did Madam Lin have at first?
Level 3
Vincent and George had 852 notebooks together. Vincent had 210 more notebooks than George. Both of them sold some of their notebooks. George sold 20% less notebooks than what Vincent sold. In the end, George had half as many notebooks left as Vincent. How many notebooks had Vincent left?
Level 3 25% of the people are performers for a concert and the rest are spectators. 60% of the spectators are adults and there are 420 less child spectators than adult spectators. How many adult spectators must join so that 56% of the people are adult spectators?
Level 3
Peter has 70% as many marbles as George. If Peter gives away 50% of the marbles and George gives away 75% of his marbles, they will have 444 marbles altogether. How many marbles do the two of them have?
Level 3
Yvonne and Anna have some pens. If Yvonne gives 45 pens to Anna, Anna will have 4 times the number of pens as Yvonne. If Anna gives 104 pens to Yvonne, Yvonne will have 13 as many pens as Anna. How many pens does Yvonne have at first?
Level 3
Ian had 140 more stickers than Ethan. Ian gave 25% of his stickers to Ethan. Ethan in return gave 80% of his stickers to Ian. In the end, Ian had 282 more stickers than Ethan. How many stickers did Ian have at first?
Level 3
On a shelf, there were 28 T-shirts and hoodies. Mr Lin spilt hot chocolate on the shelf and stained 50% of the hoodies and 20% of the T-shirts. If 20 T-shirts and hoodies were still clean, how many stained hoodies were there?
Level 3
Half an hour ago, 50% of the people at a circus were females. 42 females and 2 males left afterwards. The remaining people were then told to form groups of 5. In each group, there were 3 males. How many people were there at the circus in the end?
Level 3
Tim had 40% more muffins than Rael. Tim gave 20% of his muffins to Rael. Rael in return gave 50% of his muffins to Tim. In the end, Rael had 448 less muffins than Tim. How many muffins did Tim have at first?
Level 3
Ethan had 40% as many beads as Ben. After Ethan and Ben bought another 50 beads and 15 beads respectively, Ethan had 50% more beads than Ben. How many beads did Ethan have at first?
Level 3
If Yvonne gives Oscar $27, the amount of money she has will be 25% of his. If Oscar gives Yvonne $12, he will have the same amount of money as her. How much money did each of them have? (a) Oscar (b) Yvonne
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.
