Linda had 90% as many candy canes as Lucy. Linda gave away 25% of her candy canes and Lucy bought another 30 candy canes. As a result, Linda now has 60% as many candy canes as Lucy. Find the number of candy canes that Lucy had at first.
| |
Linda |
Lucy |
| Before |
9x3 |
10x3 |
| Change |
- 2.25x3 |
+ 30 |
| After |
6.75x3 |
10x3 + 30 |
Comparing Linda and
Lucy in the end |
3x6.75 |
5x6.75 |
| |
Linda |
Lucy |
| 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 candy canes that Linda had in the end is repeated.
Make the number of candy canes that Linda had in the end the same.
The number of candy canes that Lucy 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 candy canes that Lucy had at first
= 30 u
= 30 x 8
= 240
Answer: 240
