PSLE A box contained yellow and blue beads. At first, the number of yellow beads was
13 the number of blue beads. After
14 of the yellow beads and
18 of the blue beads were used, 108 beads were left.
- What fraction of the beads were used? Leave your answer in the simplest form.
- How many beads were there in the box at first?
|
Yellow |
Blue |
Comparing yellow beads and blue beads at first |
1x8 = 8 u |
3x8 = 24 u
|
Before
|
4x2 = 8 u |
8x3 = 24 u |
Change
|
- 1x2 = - 2 u |
- 1x3 = - 3 u |
After
|
3x2 = 6 u |
7x3 = 21 u |
(a)
The number of blue beads at first is repeated. Make the number of blue beads at first the same. LCM of 3 and 8 is 24.
The number of yellow beads at first is repeated.
Since the number of yellow beads at first is 8 u, we make the total number of yellow beads at first the same by multiplying 4 by 2 to become 8 u too.
Fraction of the beads used
=
2 + 38 + 24 =
532 (b)
Number of beads left
= 6 u + 21 u
= 27 u
27 u = 108
1 u = 108 ÷ 27 = 4
Number of beads at first
= 32 u
= 32 x 4
= 128
Answer(s): (a)
532; (b) 128