Jaslyn had some blue and green beads. If she gives away 13 blue beads, the number of blue beads will be 10% of the total number of beads left. If she gives away 27 green beads, the number of blue beads will be 25% of the total number of beads left.
- How many beads does Jaslyn have altogether?
- What fraction of Jaslyn's beads is green?
| |
Scenario 1 |
Scenario 2 |
| |
Blue |
Green |
Blue |
Green |
| Before |
1 u + 13 |
9 u |
1 p |
3 p + 27 |
| Change |
- 13 |
No change |
No change |
- 27 |
| After |
1 u |
9 u |
1 p |
3 p |
(a)
10% =
10100 =
11025% =
25100 =
141 u + 13 = 1 p --- (1)
9 u = 3 p + 27
9 u - 27 = 3 p --- (2)
Make p the same.
(1)
x33 u + 39 = 3 p --- (3)
(2) = (3)
9 u - 27 = 3 u + 39
9 u - 3 u = 39 + 27
6 u = 66
1 u = 66 ÷ 6 = 11
Number of beads that Jaslyn had at first
= 1 u + 13 + 9 u
= 10 u + 13
= 10 x 11 + 13
= 110 + 13
= 123
(b)
Number of green beads
= 9 u
= 9 x 11
= 99
Fraction of Jaslyn's beads that is green
=
99123=
3341 Answer(s): (a) 123; (b)
3341 
