3 days ago, Zara had a total of 100 yellow and pink beads. 40% of her beads were pink beads. Today, her older brother gave her some more beads. As a result, her yellow beads increased by 10%. Now, 50% of her beads are pink beads. How many pink beads did her older brother give her?
| |
Pink beads |
Yellow beads |
Total
beads |
| Before |
2 u |
3 u |
100 |
| Change |
+ 1.3 u |
+ 0.3 u |
|
| After |
3.3 u |
3.3 u |
|
Comparing the
yellow beads and
pink beads in the end |
1 |
1 |
|
40% =
40100 =
25 Pink beads : Yellow beads = 2 : 3
Increase in the number of yellow beads
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
50% =
50100 =
12 In the end
Pink beads : Yellow beads = 1 : 1
Number of beads at first
= 3 u + 2 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Number of pink beads that Zara received from her older brother
= 3.3 u - 2 u
= 1.3 u
= 1.3 x 20
= 26
Answer(s): 26
