Jade had 80% as many sweets as Pamela. Jade gave away 10% of her sweets and Pamela bought another 45 sweets. As a result, Jade now has 60% as many sweets as Pamela. Find the number of sweets that Pamela had at first.
| |
Jade |
Pamela |
| Before |
4x3 |
5x3 |
| Change |
- 0.4x3 |
+ 45 |
| After |
3.6x3 |
5x3 + 45 |
Comparing Jade and
Pamela in the end |
3x3.6 |
5x3.6 |
| |
Jade |
Pamela |
| Before |
12 u |
15 u |
| Change |
- 1.2 u |
+ 45 |
After
|
10.8 u
|
15 u + 45 =
18 u |
80% =
80100 =
4510% x 4
=
10100 x 4
= 0.4
60% =
60100 =
35The number of sweets that Jade had in the end is repeated.
Make the number of sweets that Jade had in the end the same.
The number of sweets that Pamela had in the end is repeated.
15 u + 45 = 18 u
18 u - 15 u = 45
3 u = 45
1 u = 45 ÷ 3 = 15
Number of sweets that Pamela had at first
= 15 u
= 15 x 15
= 225
Answer: 225
