There are 10% as many green beads as pink beads in Kathy's collection of beads. The number of grey beads is 40% fewer than the number of pink beads. There are 260 more grey beads than green beads.
- Find the total number of beads in the collection.
- What percentage are the number of pink beads as compared to the number of grey beads? Leave your answer as a mixed number in its simplest form.
Green |
Pink |
Grey |
1x1 |
10x1 |
|
|
5x2 |
3x2 |
1 u |
10 u |
6 u |
(a)
10% =
10100 =
110 100% - 40% = 60%
60% =
60100 =
35 The number of pink beads is the repeated identity. Make the number of pink beads the same. LCM of 10 and 5 is 10.
Number of more grey beads than green beads
= 6 u - 1 u
= 5 u
5 u = 260
1 u = 260 ÷ 5 = 52
Total number of beads in the collection
= 1 u + 10 u + 6 u
= 17 u
= 17 x 52
= 884
(b)
Percentage of the number of pink beads as compared to the number of grey beads
=
53 x 100%
=
5003 %
= 166
23 %
Answer(s): (a) 884; (b) 166
23 %