There are 20% as many white balls as blue balls in Jane's collection of balls. The number of red balls is 45% fewer than the number of blue balls. There are 371 more red 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 red balls? Leave your answer as a mixed number in its simplest form.
White |
Blue |
Red |
1x4 |
5x4 |
|
|
20x1 |
11x1 |
4 u |
20 u |
11 u |
(a)
20% =
20100 =
15 100% - 45% = 55%
55% =
55100 =
1120 The number of blue balls is the repeated identity. Make the number of blue balls the same. LCM of 5 and 20 is 20.
Number of more red balls than white balls
= 11 u - 4 u
= 7 u
7 u = 371
1 u = 371 ÷ 7 = 53
Total number of balls in the collection
= 4 u + 20 u + 11 u
= 35 u
= 35 x 53
= 1855
(b)
Percentage of the number of blue balls as compared to the number of red balls
=
2011 x 100%
=
200011 %
= 181
911 %
Answer(s): (a) 1855; (b) 181
911 %