Winnie had 90% as many sweets as Tammy. Winnie gave away 25% of her sweets and Tammy bought another 75 sweets. As a result, Winnie now has 60% as many sweets as Tammy. Find the number of sweets that Winnie had in the end.
| |
Winnie |
Tammy |
| Before |
9x3 |
10x3 |
| Change |
- 2.25x3 |
+ 75 |
| After |
6.75x3 |
10x3 + 75 |
Comparing Winnie and
Tammy in the end |
3x6.75 |
5x6.75 |
| |
Winnie |
Tammy |
| Before |
27 u |
30 u |
| Change |
- 6.75 u |
+ 75 |
After
|
20.25 u
|
30 u + 75 =
33.75 u |
90% =
90100 =
91025% x 9
=
25100 x 9
= 2.25
60% =
60100 =
35The number of sweets that Winnie had in the end is repeated.
Make the number of sweets that Winnie had in the end the same.
The number of sweets that Tammy had in the end is repeated.
30 u + 75 = 33.75 u
33.75 u - 30 u = 75
3.75 u = 75
1 u = 75 ÷ 3.75 = 20
Number of sweets that Winnie had in the end
= 20.25 u
= 20.25 x 20
= 405
Answer: 405
