Usha had some blue and white beads. If she gives away 26 blue beads, the number of blue beads will be 10% of the total number of beads left. If she gives away 18 white beads, the number of blue beads will be 25% of the total number of beads left.
- How many beads does Usha have altogether?
- What fraction of Usha's beads is white?
| |
Scenario 1 |
Scenario 2 |
| |
Blue |
White |
Blue |
White |
| Before |
1 u + 26 |
9 u |
1 p |
3 p + 18 |
| Change |
- 26 |
No change |
No change |
- 18 |
| After |
1 u |
9 u |
1 p |
3 p |
(a)
10% =
10100 =
11025% =
25100 =
141 u + 26 = 1 p --- (1)
9 u = 3 p + 18
9 u - 18 = 3 p --- (2)
Make p the same.
(1)
x33 u + 78 = 3 p --- (3)
(2) = (3)
9 u - 18 = 3 u + 78
9 u - 3 u = 78 + 18
6 u = 96
1 u = 96 ÷ 6 = 16
Number of beads that Usha had at first
= 1 u + 26 + 9 u
= 10 u + 26
= 10 x 16 + 26
= 160 + 26
= 186
(b)
Number of white beads
= 9 u
= 9 x 16
= 144
Fraction of Usha's beads that is white
=
144186=
2431 Answer(s): (a) 186; (b)
2431 
