There are 10% as many black balls as white balls in Jade's collection of balls. The number of red balls is 35% fewer than the number of white balls. There are 374 more red balls than black balls.
- Find the total number of balls in the collection.
- What percentage are the number of white balls as compared to the number of red balls? Leave your answer as a mixed number in its simplest form.
Black |
White |
Red |
1x2 |
10x2 |
|
|
20x1 |
13x1 |
2 u |
20 u |
13 u |
(a)
10% =
10100 =
110 100% - 35% = 65%
65% =
65100 =
1320 The number of white balls is the repeated identity. Make the number of white balls the same. LCM of 10 and 20 is 20.
Number of more red balls than black balls
= 13 u - 2 u
= 11 u
11 u = 374
1 u = 374 ÷ 11 = 34
Total number of balls in the collection
= 2 u + 20 u + 13 u
= 35 u
= 35 x 34
= 1190
(b)
Percentage of the number of white balls as compared to the number of red balls
=
2013 x 100%
=
200013 %
= 153
1113 %
Answer(s): (a) 1190; (b) 153
1113 %