Tammy had some pink and blue beads. If she gives away 45 pink beads, the number of pink beads will be 20% of the total number of beads left. If she gives away 24 blue beads, the number of pink beads will be 25% of the total number of beads left.
- How many beads does Tammy have altogether?
- What fraction of Tammy's beads is blue?
| |
Scenario 1 |
Scenario 2 |
| |
Pink |
Blue |
Pink |
Blue |
| Before |
1 u + 45 |
4 u |
1 p |
3 p + 24 |
| Change |
- 45 |
No change |
No change |
- 24 |
| After |
1 u |
4 u |
1 p |
3 p |
(a)
20% =
20100 =
1525% =
25100 =
141 u + 45 = 1 p --- (1)
4 u = 3 p + 24
4 u - 24 = 3 p --- (2)
Make p the same.
(1)
x33 u + 135 = 3 p --- (3)
(2) = (3)
4 u - 24 = 3 u + 135
4 u - 3 u = 135 + 24
1 u = 159
Number of beads that Tammy had at first
= 1 u + 45 + 4 u
= 5 u + 45
= 5 x 159 + 45
= 795 + 45
= 840
(b)
Number of blue beads
= 4 u
= 4 x 159
= 636
Fraction of Tammy's beads that is blue
=
636840=
5370 Answer(s): (a) 840; (b)
5370 
