Level 3
There are 20% as many green beads as red beads in May'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.

Level 3
Two identical pails C and D contained some water. Pail C was ¹₄ filled and Pail D was 1/5 filled. The ratio of the total mass of Pail C and the water in it to the total mass of Pail D and the water in it was 8 : 7. The total mass of the two pails and the water they contained was 3150 g. What is the mass of an empty pail?

Level 3
Abby, Becca, Clara and Demi jointly contributed to the cost of a present for their friend. Abby's contribution is ²₅ of the total contribution made by the four girls. The ratio of Demi's contribution to the total of Becca's and Clara's contribution is 4 : 1. What is the total contribution by the four girls if Becca's contribution is ¹₅ of Clara's contribution and the total amount contributed by Abby and Demi is $132?

Level 3
Tabitha purchased a bottle of rose syrup to make drinks. She used ³₇ of the liquid in January. She then used the remaining syrup in February and March in the ratio 3 : 7. Given that the amount of the rose syrup used in January was 0.18 ℓ more than that used on the February, how many millilitres of rose syrup did the bottle contain at first?

Level 3
There were some red, blue and green pens in a box. ¹₉ of the pens were blue. The ratio of the number of red pens to the number of green pens was 3 : 5. There were 288 fewer blue pens than green pens.

1. Find the ratio of the number of red pens to the number of blue pens to the number of green pens in the box.
2. How many green pens were there?