Gillian had some bead collection.
12 of them were red and the rest were pink. She gave away 186 of the pink beads and 20% of the red beads. She then had
18 of her bead collection left. How many beads did Gillian give away?
|
Red |
Pink |
Total |
Total |
Before
|
1x4 = 4 u |
1x4 = 4 u |
2x4 = 8 u |
8x1 = 8 u |
Change
|
- 0.2x4 = - 0.8 u |
- 186 |
|
- 7x1 = - 7 u |
After
|
0.8x4 = 3.2 u |
4 u - 186 |
|
1x1 = 1 u |
The total number of beads that Gillian had at first is repeated. Make the total number of beads at first the same. LCM 2 and 8 is 8.
Number of red beads that Gillian gave away
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
0.8 u - 186 = 7 u
7 u - 0.8 u = 186
6.2 u = 186
1 u = 186 ÷ 6.2 = 30
Number of beads that Gillian gave away
= 7 u
= 7 x 30
= 210
Answer(s): 210