Emily had some card collection.
12 of them were red and the rest were purple. She gave away 137 of the purple cards and 50% of the red cards. She then had
23 of her card collection left. How many cards did Emily give away?
| |
Red |
Purple |
Total |
Total |
Before
|
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
3x2 =
6 u |
Change
|
- 0.5x3 =
- 1.5 u |
- 137 |
|
- 1x2 =
- 2 u |
After
|
0.5x3 =
1.5 u |
3 u - 137 |
|
2x2 =
4 u |
The total number of cards that Emily had at first is repeated. Make the total number of cards at first the same. LCM 2 and 3 is 6.
Number of red cards that Emily gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 137 = 2 u
2 u - 1.5 u = 137
0.5 u = 137
1 u = 137 ÷ 0.5 = 274
Number of cards that Emily gave away
= 2 u
= 2 x 274
= 548
Answer(s): 548
