Kylie had 90% as many sweets as Emily. Kylie gave away 10% of her sweets and Emily bought another 210 sweets. As a result, Kylie now has 60% as many sweets as Emily. Find the number of sweets that Kylie had in the end.
| |
Kylie |
Emily |
| Before |
9x3 |
10x3 |
| Change |
- 0.9x3 |
+ 210 |
| After |
8.1x3 |
10x3 + 210 |
Comparing Kylie and
Emily in the end |
3x8.1 |
5x8.1 |
| |
Kylie |
Emily |
| Before |
27 u |
30 u |
| Change |
- 2.7 u |
+ 210 |
After
|
24.3 u
|
30 u + 210 =
40.5 u |
90% =
90100 =
91010% x 9
=
10100 x 9
= 0.9
60% =
60100 =
35The number of sweets that Kylie had in the end is repeated.
Make the number of sweets that Kylie had in the end the same.
The number of sweets that Emily had in the end is repeated.
30 u + 210 = 40.5 u
40.5 u - 30 u = 210
10.5 u = 210
1 u = 210 ÷ 10.5 = 20
Number of sweets that Kylie had in the end
= 24.3 u
= 24.3 x 20
= 486
Answer: 486
