7 days ago, Hazel had a total of 100 gold and blue beads. 20% of her beads were blue beads. Today, her grandmother gave her some more beads. As a result, her gold beads increased by 40%. Now, 50% of her beads are blue beads. How many blue beads did her grandmother give her?
| |
Blue beads |
Gold beads |
Total
beads |
| Before |
1 u |
4 u |
100 |
| Change |
+ 4.6 u |
+ 1.6 u |
|
| After |
5.6 u |
5.6 u |
|
Comparing the
gold beads and
blue beads in the end |
1 |
1 |
|
20% =
20100 =
15 Blue beads : Gold beads = 1 : 4
Increase in the number of gold beads
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
50% =
50100 =
12 In the end
Blue beads : Gold beads = 1 : 1
Number of beads at first
= 4 u + 1 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Number of blue beads that Hazel received from her grandmother
= 5.6 u - 1 u
= 4.6 u
= 4.6 x 20
= 92
Answer(s): 92
