Level 3
Cathy's shop sold bracelets and rings. The bracelets were sold at $100 each and each ring was sold at ⁴₅ of the price of each bracelet. Cathy sold ¹₄ of the items on the first day and collected $15580. ³₄ of the items sold on the first day were bracelets.

1. How many rings were sold on the first day?
2. What was the total number of items left after the first day?

Level 3
A bag of candies was distributed equally among 16 pupils. When 7 of these pupils gave up ³₅ of their share, the rest of the pupils received 14 more candies each. How many candies were there in the bag?

Level 3
Carl had a total of 90 notes. The notes are $10 notes and $5 notes. After he spent 20% of the $10 notes and 60% of the $5 notes on a stereo system, he was left with 4 times as many $5 notes as $10 notes. How much did the stereo system cost?

Level 3
After cycling for 30 km, Mark took a break before he continued cycling ¹₃ of the remaining distance. He then realised that he still had ¹₄ of the total distance not completed. If Mark's average speed was 30 km/h, how much time did he take to complete the entire ride? Express the answer in mixed number.

Level 3
Alfred had some peaches in 3 sizes. The number of medium peaches was twice the number of large peaches. The number of large peaches were three times the number of small peaches.
The price of each peach are as follows:
Small $4
Medium $7
Large $9

He sold all the small and medium peaches. He received $360 from selling ¹₃ of the large peaches.

1. How many large peaches did he have at first?
   
2. How much less did he collect from selling the small peaches than the medium peaches?

Level 3
Kate had some fruits at her stall. ³₄ of them were mangosteens, ¹₃ of the remainder were apples and the rest were coconuts. The amounts earned for each mangosteen, each Fuji apple and each coconut sold are $1.50, $3.00 and $4.50 respectively.

The number of mangosteens sold to the number of apples sold to the number of coconuts sold was 3 : 5 : 3. In total, she sold ¹₄ of the fruits and earned $198. How many coconuts did she have at first?

Level 3
Hazel, Olivia and Diana had a total of 767 marbles. The ratio of Olivia's marbles to Diana's marbles was at first 4 : 7. After Hazel and Olivia each gave half of their marbles away, the 3 children had 527 marbles left. How many marbles did Hazel and Diana have at first?

Level 3
At a wedding, ⁴₉ of the guests were men and the rest were women. Some men then left the wedding and the remaining number of men were ²₅ of the guests. 44 men then joined the wedding. The number of guests in the end was 12 more than the number of guests at first. How many guests were there at first?

Level 3
In a factory, Machine A was turned on first and it produced 313 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 45 less than ¹₂ of the total number of wontons produced. How many wontons were produced altogether?