Jen had 90% as many sweets as Cindy. Jen gave away 25% of her sweets and Cindy bought another 30 sweets. As a result, Jen now has 60% as many sweets as Cindy. Find the number of sweets that Jen had in the end.
| |
Jen |
Cindy |
| Before |
9x3 |
10x3 |
| Change |
- 2.25x3 |
+ 30 |
| After |
6.75x3 |
10x3 + 30 |
Comparing Jen and
Cindy in the end |
3x6.75 |
5x6.75 |
| |
Jen |
Cindy |
| Before |
27 u |
30 u |
| Change |
- 6.75 u |
+ 30 |
After
|
20.25 u
|
30 u + 30 =
33.75 u |
90% =
90100 =
91025% x 9
=
25100 x 9
= 2.25
60% =
60100 =
35The number of sweets that Jen had in the end is repeated.
Make the number of sweets that Jen had in the end the same.
The number of sweets that Cindy had in the end is repeated.
30 u + 30 = 33.75 u
33.75 u - 30 u = 30
3.75 u = 30
1 u = 30 ÷ 3.75 = 8
Number of sweets that Jen had in the end
= 20.25 u
= 20.25 x 8
= 162
Answer: 162
