Marion had 80% as many candy canes as Opal. Marion gave away 10% of her candy canes and Opal bought another 45 candy canes. As a result, Marion now has 60% as many candy canes as Opal. Find the number of candy canes that Marion had in the end.
| |
Marion |
Opal |
| Before |
4x3 |
5x3 |
| Change |
- 0.4x3 |
+ 45 |
| After |
3.6x3 |
5x3 + 45 |
Comparing Marion and
Opal in the end |
3x3.6 |
5x3.6 |
| |
Marion |
Opal |
| 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 candy canes that Marion had in the end is repeated.
Make the number of candy canes that Marion had in the end the same.
The number of candy canes that Opal 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 candy canes that Marion had in the end
= 10.8 u
= 10.8 x 15
= 162
Answer: 162
