Lynn had 70% as many candy canes as Gem. Lynn gave away 10% of her candy canes and Gem bought another 30 candy canes. As a result, Lynn now has 60% as many candy canes as Gem. Find the number of candy canes that Gem had at first.
| |
Lynn |
Gem |
| Before |
7x3 |
10x3 |
| Change |
- 0.7x3 |
+ 30 |
| After |
6.3x3 |
10x3 + 30 |
Comparing Lynn and
Gem in the end |
3x6.3 |
5x6.3 |
| |
Lynn |
Gem |
| Before |
21 u |
30 u |
| Change |
- 2.1 u |
+ 30 |
After
|
18.9 u
|
30 u + 30 =
31.5 u |
70% =
70100 =
71010% x 7
=
10100 x 7
= 0.7
60% =
60100 =
35The number of candy canes that Lynn had in the end is repeated.
Make the number of candy canes that Lynn had in the end the same.
The number of candy canes that Gem had in the end is repeated.
30 u + 30 = 31.5 u
31.5 u - 30 u = 30
1.5 u = 30
1 u = 30 ÷ 1.5 = 20
Number of candy canes that Gem had at first
= 30 u
= 30 x 20
= 600
Answer: 600
