Abi has 3 times as many scones as Betty. The total number of Abi's and Betty's scones is 5 times of Gwen's. Abi and Betty have 160 scones more than Gwen's. How many more scones does Abi have than Betty?
| Abi |
Betty |
Gwen |
| 3x5 |
1x5 |
|
| 5x4 |
1x4 |
| 15 u |
5 u |
4 u |
The total number of scones that Abi and Betty have is repeated. Make the total number of scones that Abi and Betty have the same. LCM of 4 and 5 is 20.
Total number of scones that Abi and Betty have
= 15 u + 5 u
= 20 u
Number of more scones that Abi and Betty have than Gwen
= 20 u - 4 u
= 16 u
16 u = 160
1 u = 160 ÷ 16 = 10
Number of more scones that Abi has than Betty
= 15 u - 5 u
= 10 u
= 10 x 10
= 100
Answer(s): 100
