The ratio of Victoria's marbles to Hazel's marbles at first was 3 : 5. After Victoria gave Hazel 32 marbles, the ratio of Victoria's marbles to Hazel's marbles is 1 : 3. What was the number of marbles they had in total?
| |
Victoria |
Hazel |
Total |
| Before |
3x4 =
12 u |
5x4 =
20 u
|
8x4 =
32 u |
| Change |
- 32 |
+ 32 |
|
| After |
1x8 =
8 u |
3x8 =
24 u |
4x8 =
32 u |
Number of marbles that Victoria gave Hazel
= 12 u - 8 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Total number of marbles that they had
= 32 u
= 32 x 8
= 256
Answer(s): 256
