Nicole had some marble collection.
45 of them were gold and the rest were blue. She gave away 153 of the blue marbles and 30% of the gold marbles. She then had
14 of her marble collection left. How many marbles did Nicole give away?
| |
Gold |
Blue |
Total |
Total |
Before
|
4x4 =
16 u |
1x4 =
4 u |
5x4 =
20 u |
4x5 =
20 u |
Change
|
- 1.2x4 =
- 4.8 u |
- 153 |
|
- 3x5 =
- 15 u |
After
|
2.8x4 =
11.2 u |
4 u - 153 |
|
1x5 =
5 u |
The total number of marbles that Nicole had at first is repeated. Make the total number of marbles at first the same. LCM 5 and 4 is 20.
Number of gold marbles that Nicole gave away
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
4.8 u - 153 = 15 u
15 u - 4.8 u = 153
10.2 u = 153
1 u = 153 ÷ 10.2 = 15
Number of marbles that Nicole gave away
= 15 u
= 15 x 15
= 225
Answer(s): 225
