There are 25% as many green balls as gold balls in Ivory's collection of balls. The number of grey balls is 40% fewer than the number of gold balls. There are 441 more grey balls than green balls.
- Find the total number of balls in the collection.
- What percentage are the number of gold balls as compared to the number of grey balls? Leave your answer as a mixed number in its simplest form.
Green |
Gold |
Grey |
1x5 |
4x5 |
|
|
5x4 |
3x4 |
5 u |
20 u |
12 u |
(a)
25% =
25100 =
14 100% - 40% = 60%
60% =
60100 =
35 The number of gold balls is the repeated identity. Make the number of gold balls the same. LCM of 4 and 5 is 20.
Number of more grey balls than green balls
= 12 u - 5 u
= 7 u
7 u = 441
1 u = 441 ÷ 7 = 63
Total number of balls in the collection
= 5 u + 20 u + 12 u
= 37 u
= 37 x 63
= 2331
(b)
Percentage of the number of gold balls as compared to the number of grey balls
=
53 x 100%
=
5003 %
= 166
23 %
Answer(s): (a) 2331; (b) 166
23 %