There are 20% as many green beads as red beads in a seamstress's collection of beads. The number of purple beads is 30% fewer than the number of red beads. There are 330 more purple beads than green beads.
  1. Find the total number of beads in the collection.
  2. What percentage are the number of red beads as compared to the number of purple beads? Leave your answer as a mixed number in its simplest form.
3 m
At a stall, the ratio of watermelons to coconuts was 8 : 13. After Kate bought two-thirds of the coconuts, there was a total of 111 watermelons and coconuts left at the stall. How many fruits were there at first?
3 m
The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
3 m
The amount of Isabelle's salary to Sarah's salary is 2 : 9. If Isabelle spends 35 of her salary, she will have $902 less than Sarah. How much salary does Sarah have?
3 m
In an art class of 84 students, 0.125 of the girls passed the drawing test and 45 of the boys passed the drawing test. A total of 24 students passed the drawing test. How many girls failed the drawing test?
3 m
Olivia has 60% as many erasers as Penny. Penny has 180% as many erasers as Kate. If Penny gives 30 erasers to Kate, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
3 m
Queenie and Violet collects pens. Queenie gave 50% of her pens to Violet and as a result, Violet's pens increased by 40%. If Queenie has 84 pens left, find the number of pens Violet must give to Queenie in the end so that they have equal number of pens?
3 m
In a shop that sells t-shirts, 250 blue t-shirts were sold weekly and 25% of the remaining t-shirts that were sold were red. Of the leftover, 40% of the t-shirts sold were yellow t-shirts and the rest were black t-shirts. Given that the number of black t-shirts sold was 20% of the total number of t-shirts sold, how many red and blue t-shirts were sold altogether?
3 m
A coffee shop owner bought a sack of tea. He kept 37 of the tea for his mother and gave away the leftovers. He gave away 2 45 kg to his friend and 38 of the rest to his neighbour. He saved the remaining 3.5 kg for his own use. How much tea did he have originally?
3 m
There were some pencils in Box A and Box B. After Carl transferred 34 of the pencils from Box A to Box B, the ratio of the number of pencils in Box A to that in Box B changed to 2 : 9. Find the ratio of the numbers of pencils in Box A to the number of pencils in Box B at first.
3 m