The ratio of Rachel's beads to Charlotte's beads at first was 2 : 5. After Rachel gave Charlotte 96 beads, the ratio of Rachel's beads to Charlotte's beads is 1 : 4. What was the number of beads they had in total?
|
Rachel |
Charlotte |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 96 |
+ 96 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of beads that Rachel gave Charlotte
= 10 u - 7 u
= 3 u
3 u = 96
1 u = 96 ÷ 3 = 32
Total number of beads that they had
= 35 u
= 35 x 32
= 1120
Answer(s): 1120