Opal had some card collection.
35 of them were purple and the rest were pink. She gave away 110 of the pink cards and 50% of the purple cards. She then had
13 of her card collection left. How many cards did Opal give away?
| |
Purple |
Pink |
Total |
Total |
Before
|
3x3 =
9 u |
2x3 =
6 u |
5x3 =
15 u |
3x5 =
15 u |
Change
|
- 1.5x3 =
- 4.5 u |
- 110 |
|
- 2x5 =
- 10 u |
After
|
1.5x3 =
4.5 u |
6 u - 110 |
|
1x5 =
5 u |
The total number of cards that Opal had at first is repeated. Make the total number of cards at first the same. LCM 5 and 3 is 15.
Number of purple cards that Opal gave away
= 50% x 3 u
=
50100 x 3 u
= 1.5 u
4.5 u - 110 = 10 u
10 u - 4.5 u = 110
5.5 u = 110
1 u = 110 ÷ 5.5 = 20
Number of cards that Opal gave away
= 10 u
= 10 x 20
= 200
Answer(s): 200
