There are 25% as many black beads as blue beads in Jen's collection of beads. The number of red beads is 35% fewer than the number of blue beads. There are 400 more red beads than black beads.
- Find the total number of beads in the collection.
- What percentage are the number of blue beads as compared to the number of red beads? Leave your answer as a mixed number in its simplest form.
Black |
Blue |
Red |
1x5 |
4x5 |
|
|
20x1 |
13x1 |
5 u |
20 u |
13 u |
(a)
25% =
25100 =
14 100% - 35% = 65%
65% =
65100 =
1320 The number of blue beads is the repeated identity. Make the number of blue beads the same. LCM of 4 and 20 is 20.
Number of more red beads than black beads
= 13 u - 5 u
= 8 u
8 u = 400
1 u = 400 ÷ 8 = 50
Total number of beads in the collection
= 5 u + 20 u + 13 u
= 38 u
= 38 x 50
= 1900
(b)
Percentage of the number of blue beads as compared to the number of red beads
=
2013 x 100%
=
200013 %
= 153
1113 %
Answer(s): (a) 1900; (b) 153
1113 %