The ratio of Charlotte's beads to Sebastian's beads at first was 3 : 7. After Charlotte gave Sebastian 76 beads, the ratio of Charlotte's beads to Sebastian's beads is 1 : 3. What was the number of beads they had altogether?
|
Charlotte |
Sebastian |
Total |
Before |
3x4 = 12 u |
7x4 = 28 u
|
10x4 = 40 u |
Change |
- 76 |
+ 76 |
|
After |
1x10 = 10 u |
3x10 = 30 u |
4x10 = 40 u |
Number of beads that Charlotte gave Sebastian
= 12 u - 10 u
= 2 u
2 u = 76
1 u = 76 ÷ 2 = 38
Total number of beads that they had
= 40 u
= 40 x 38
= 1520
Answer(s): 1520