There are 25% as many green marbles as pink marbles in Joelle's collection of marbles. The number of grey marbles is 30% fewer than the number of pink marbles. There are 396 more grey marbles than green marbles.
- Find the total number of marbles in the collection.
- What percentage are the number of pink marbles as compared to the number of grey marbles? Leave your answer as a mixed number in its simplest form.
Green |
Pink |
Grey |
1x5 |
4x5 |
|
|
10x2 |
7x2 |
5 u |
20 u |
14 u |
(a)
25% =
25100 =
14 100% - 30% = 70%
70% =
70100 =
710 The number of pink marbles is the repeated identity. Make the number of pink marbles the same. LCM of 4 and 10 is 20.
Number of more grey marbles than green marbles
= 14 u - 5 u
= 9 u
9 u = 396
1 u = 396 ÷ 9 = 44
Total number of marbles in the collection
= 5 u + 20 u + 14 u
= 39 u
= 39 x 44
= 1716
(b)
Percentage of the number of pink marbles as compared to the number of grey marbles
=
107 x 100%
=
10007 %
= 142
67 %
Answer(s): (a) 1716; (b) 142
67 %