There are 112 beads in a bag. 0.5 of them are grey beads, and the rest are purple and black beads. If there are 34 as many purple beads as black beads. How many black beads are there?
| Grey beads |
Purple beads |
Black beads |
Total |
| 1 u |
1 u |
2 u |
| |
3 p |
4 p |
|
0.5 =
510 =
12 Fraction of beads that are purple and black beads
= 1 -
12 =
12 Total number of beads = 2 u
2 u = 112
1 u = 112 ÷ 2 = 56
Number of purple beads and black beads
= 1 u
= 1 x 56
= 56
Number of purple and black beads
= 3 p + 4 p
= 7 p
7 p = 56
1 p = 56 ÷ 7 = 8
Number of black beads
= 4 p
= 4 x 8
= 32
Answer(s): 32
