Opal has 5 times as many scones as Diana. The total number of Opal's and Diana's scones is 8 times of Irene's. Opal and Diana have 231 scones more than Irene's. How many more scones does Opal have than Diana?
| Opal |
Diana |
Irene |
| 5x4 |
1x4 |
|
| 8x3 |
1x3 |
| 20 u |
4 u |
3 u |
The total number of scones that Opal and Diana have is repeated. Make the total number of scones that Opal and Diana have the same. LCM of 6 and 8 is 24.
Total number of scones that Opal and Diana have
= 20 u + 4 u
= 24 u
Number of more scones that Opal and Diana have than Irene
= 24 u - 3 u
= 21 u
21 u = 231
1 u = 231 ÷ 21 = 11
Number of more scones that Opal has than Diana
= 20 u - 4 u
= 16 u
= 16 x 11
= 176
Answer(s): 176
