There are 25% as many grey beads as gold beads in Min's collection of beads. The number of pink beads is 45% fewer than the number of gold beads. There are 498 more pink 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 pink beads? Leave your answer as a mixed number in its simplest form.
Grey |
Gold |
Pink |
1x5 |
4x5 |
|
|
20x1 |
11x1 |
5 u |
20 u |
11 u |
(a)
25% =
25100 =
14 100% - 45% = 55%
55% =
55100 =
1120 The number of gold beads is the repeated identity. Make the number of gold beads the same. LCM of 4 and 20 is 20.
Number of more pink beads than grey beads
= 11 u - 5 u
= 6 u
6 u = 498
1 u = 498 ÷ 6 = 83
Total number of beads in the collection
= 5 u + 20 u + 11 u
= 36 u
= 36 x 83
= 2988
(b)
Percentage of the number of gold beads as compared to the number of pink beads
=
2011 x 100%
=
200011 %
= 181
911 %
Answer(s): (a) 2988; (b) 181
911 %