There are 20% as many gold balls as red balls in Hilda's collection of balls. The number of brown balls is 45% fewer than the number of red balls. There are 315 more brown balls than gold balls.
- Find the total number of balls in the collection.
- What percentage are the number of red balls as compared to the number of brown balls? Leave your answer as a mixed number in its simplest form.
Gold |
Red |
Brown |
1x4 |
5x4 |
|
|
20x1 |
11x1 |
4 u |
20 u |
11 u |
(a)
20% =
20100 =
15 100% - 45% = 55%
55% =
55100 =
1120 The number of red balls is the repeated identity. Make the number of red balls the same. LCM of 5 and 20 is 20.
Number of more brown balls than gold balls
= 11 u - 4 u
= 7 u
7 u = 315
1 u = 315 ÷ 7 = 45
Total number of balls in the collection
= 4 u + 20 u + 11 u
= 35 u
= 35 x 45
= 1575
(b)
Percentage of the number of red balls as compared to the number of brown balls
=
2011 x 100%
=
200011 %
= 181
911 %
Answer(s): (a) 1575; (b) 181
911 %