There are 20% as many grey beads as gold beads in Min's collection of beads. The number of red beads is 45% fewer than the number of gold beads. There are 525 more red beads than grey beads.
- Find the total number of beads in the collection.
- What percentage are the number of gold beads as compared to the number of red beads? Leave your answer as a mixed number in its simplest form.
Grey |
Gold |
Red |
1x4 |
5x4 |
|
|
20x1 |
11x1 |
4 u |
20 u |
11 u |
(a)
20% =
20100 =
15 100% - 45% = 55%
55% =
55100 =
1120 The number of gold beads is the repeated identity. Make the number of gold beads the same. LCM of 5 and 20 is 20.
Number of more red beads than grey beads
= 11 u - 4 u
= 7 u
7 u = 525
1 u = 525 ÷ 7 = 75
Total number of beads in the collection
= 4 u + 20 u + 11 u
= 35 u
= 35 x 75
= 2625
(b)
Percentage of the number of gold beads as compared to the number of red beads
=
2011 x 100%
=
200011 %
= 181
911 %
Answer(s): (a) 2625; (b) 181
911 %