PSLE A box contained pink and purple beads. At first, the number of pink beads was
15 the number of purple beads. After
13 of the pink beads and
49 of the purple beads were used, 124 beads were left.
- What fraction of the beads were left? Leave your answer in the simplest form.
- How many beads were used?
|
Pink |
Purple |
Comparing pink beads and purple beads at first |
1x9 = 9 u |
5x9 = 45 u
|
Before
|
3x3 = 9 u |
9x5 = 45 u |
Change
|
- 1x3 = - 3 u |
- 4x5 = - 20 u |
After
|
2x3 = 6 u |
5x5 = 25 u |
(a)
The number of purple beads at first is repeated. Make the number of purple beads at first the same.
LCM of 5 and 9 is 45.
The number of pink beads at first is repeated.
Since the number of pink beads at first is 9 u, we make the total number of pink beads at first the same by multiplying 3 by 3 to become 9 u too.
Fraction of the beads left
=
6 + 259 + 45 =
3154 (b)
Number of beads left
= 6 u + 25 u
= 31 u
31 u = 124
1 u = 124 ÷ 31 = 4
Number of beads used
= 3 u + 20 u
= 23 u
= 23 x 4
= 92
Answer(s): (a)
3154; (b) 92