Cathy had some marble collection.
12 of them were blue and the rest were gold. She gave away 196 of the gold marbles and 50% of the blue marbles. She then had
23 of her marble collection left. How many marbles did Cathy give away?
| |
Blue |
Gold |
Total |
Total |
Before
|
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
3x2 =
6 u |
Change
|
- 0.5x3 =
- 1.5 u |
- 196 |
|
- 1x2 =
- 2 u |
After
|
0.5x3 =
1.5 u |
3 u - 196 |
|
2x2 =
4 u |
The total number of marbles that Cathy had at first is repeated. Make the total number of marbles at first the same. LCM 2 and 3 is 6.
Number of blue marbles that Cathy gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 196 = 2 u
2 u - 1.5 u = 196
0.5 u = 196
1 u = 196 ÷ 0.5 = 392
Number of marbles that Cathy gave away
= 2 u
= 2 x 392
= 784
Answer(s): 784
