There are 25% as many pink balls as blue balls in Esther's collection of balls. The number of red balls is 30% fewer than the number of blue balls. There are 468 more red balls than pink 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.
Pink |
Blue |
Red |
1x5 |
4x5 |
|
|
10x2 |
7x2 |
5 u |
20 u |
14 u |
(a)
25% =
25100 =
14 100% - 30% = 70%
70% =
70100 =
710 The number of blue balls is the repeated identity. Make the number of blue balls the same. LCM of 4 and 10 is 20.
Number of more red balls than pink balls
= 14 u - 5 u
= 9 u
9 u = 468
1 u = 468 ÷ 9 = 52
Total number of balls in the collection
= 5 u + 20 u + 14 u
= 39 u
= 39 x 52
= 2028
(b)
Percentage of the number of blue balls as compared to the number of red balls
=
107 x 100%
=
10007 %
= 142
67 %
Answer(s): (a) 2028; (b) 142
67 %