There are 25% as many white balls as blue balls in Tammy's collection of balls. The number of silver balls is 35% fewer than the number of blue balls. There are 312 more silver balls than white balls.
- Find the total number of balls in the collection.
- What percentage are the number of blue balls as compared to the number of silver balls? Leave your answer as a mixed number in its simplest form.
White |
Blue |
Silver |
1x5 |
4x5 |
|
|
20x1 |
13x1 |
5 u |
20 u |
13 u |
(a)
25% =
25100 =
14 100% - 35% = 65%
65% =
65100 =
1320 The number of blue balls is the repeated identity. Make the number of blue balls the same. LCM of 4 and 20 is 20.
Number of more silver balls than white balls
= 13 u - 5 u
= 8 u
8 u = 312
1 u = 312 ÷ 8 = 39
Total number of balls in the collection
= 5 u + 20 u + 13 u
= 38 u
= 38 x 39
= 1482
(b)
Percentage of the number of blue balls as compared to the number of silver balls
=
2013 x 100%
=
200013 %
= 153
1113 %
Answer(s): (a) 1482; (b) 153
1113 %