Elyse had some card collection.
34 of them were blue and the rest were silver. She gave away 154 of the silver cards and 50% of the blue cards. She then had
16 of her card collection left. How many cards did Elyse give away?
| |
Blue |
Silver |
Total |
Total |
Before
|
3x3 =
9 u |
1x3 =
3 u |
4x3 =
12 u |
6x2 =
12 u |
Change
|
- 1.5x3 =
- 4.5 u |
- 154 |
|
- 5x2 =
- 10 u |
After
|
1.5x3 =
4.5 u |
3 u - 154 |
|
1x2 =
2 u |
The total number of cards that Elyse had at first is repeated. Make the total number of cards at first the same. LCM 4 and 6 is 12.
Number of blue cards that Elyse gave away
= 50% x 3 u
=
50100 x 3 u
= 1.5 u
4.5 u - 154 = 10 u
10 u - 4.5 u = 154
5.5 u = 154
1 u = 154 ÷ 5.5 = 28
Number of cards that Elyse gave away
= 10 u
= 10 x 28
= 280
Answer(s): 280
