There are 25% as many red beads as grey beads in Dana's collection of beads. The number of white beads is 40% fewer than the number of grey beads. There are 371 more white beads than red beads.
- Find the total number of beads in the collection.
- What percentage are the number of grey beads as compared to the number of white beads? Leave your answer as a mixed number in its simplest form.
Red |
Grey |
White |
1x5 |
4x5 |
|
|
5x4 |
3x4 |
5 u |
20 u |
12 u |
(a)
25% =
25100 =
14 100% - 40% = 60%
60% =
60100 =
35 The number of grey beads is the repeated identity. Make the number of grey beads the same. LCM of 4 and 5 is 20.
Number of more white beads than red beads
= 12 u - 5 u
= 7 u
7 u = 371
1 u = 371 ÷ 7 = 53
Total number of beads in the collection
= 5 u + 20 u + 12 u
= 37 u
= 37 x 53
= 1961
(b)
Percentage of the number of grey beads as compared to the number of white beads
=
53 x 100%
=
5003 %
= 166
23 %
Answer(s): (a) 1961; (b) 166
23 %