Linda had some pen collection.
12 of them were silver and the rest were gold. She gave away 185 of the gold pens and 50% of the silver pens. She then had
23 of her pen collection left. How many pens did Linda give away?
| |
Silver |
Gold |
Total |
Total |
Before
|
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
3x2 =
6 u |
Change
|
- 0.5x3 =
- 1.5 u |
- 185 |
|
- 1x2 =
- 2 u |
After
|
0.5x3 =
1.5 u |
3 u - 185 |
|
2x2 =
4 u |
The total number of pens that Linda had at first is repeated. Make the total number of pens at first the same. LCM 2 and 3 is 6.
Number of silver pens that Linda gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 185 = 2 u
2 u - 1.5 u = 185
0.5 u = 185
1 u = 185 ÷ 0.5 = 370
Number of pens that Linda gave away
= 2 u
= 2 x 370
= 740
Answer(s): 740
