Tina had some bead collection.
18 of them were red and the rest were white. She gave away 111 of the white beads and 50% of the red beads. She then had
16 of her bead collection left. How many beads did Tina give away?
|
Red |
White |
Total |
Total |
Before
|
1x3 = 3 u |
7x3 = 21 u |
8x3 = 24 u |
6x4 = 24 u |
Change
|
- 0.5x3 = - 1.5 u |
- 111 |
|
- 5x4 = - 20 u |
After
|
0.5x3 = 1.5 u |
21 u - 111 |
|
1x4 = 4 u |
The total number of beads that Tina had at first is repeated. Make the total number of beads at first the same. LCM 8 and 6 is 24.
Number of red beads that Tina gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 111 = 20 u
20 u - 1.5 u = 111
18.5 u = 111
1 u = 111 ÷ 18.5 = 6
Number of beads that Tina gave away
= 20 u
= 20 x 6
= 120
Answer(s): 120