Hilda had 90% as many sweets as Gabby. Hilda gave away 20% of her sweets and Gabby bought another 60 sweets. As a result, Hilda now has 60% as many sweets as Gabby. Find the number of sweets that Gabby had at first.
| |
Hilda |
Gabby |
| Before |
9x3 |
10x3 |
| Change |
- 1.8x3 |
+ 60 |
| After |
7.2x3 |
10x3 + 60 |
Comparing Hilda and
Gabby in the end |
3x7.2 |
5x7.2 |
| |
Hilda |
Gabby |
| Before |
27 u |
30 u |
| Change |
- 5.4 u |
+ 60 |
After
|
21.6 u
|
30 u + 60 =
36 u |
90% =
90100 =
91020% x 9
=
20100 x 9
= 1.8
60% =
60100 =
35The number of sweets that Hilda had in the end is repeated.
Make the number of sweets that Hilda had in the end the same.
The number of sweets that Gabby had in the end is repeated.
30 u + 60 = 36 u
36 u - 30 u = 60
6 u = 60
1 u = 60 ÷ 6 = 10
Number of sweets that Gabby had at first
= 30 u
= 30 x 10
= 300
Answer: 300
