Lucy has 4 times as many shortbreads as Abi. The total number of Lucy's and Abi's shortbreads is 3 times of Dana's. Lucy and Abi have 80 shortbreads more than Dana's. How many more shortbreads does Lucy have than Abi?
| Lucy |
Abi |
Dana |
| 4x3 |
1x3 |
|
| 3x5 |
1x5 |
| 12 u |
3 u |
5 u |
The total number of shortbreads that Lucy and Abi have is repeated. Make the total number of shortbreads that Lucy and Abi have the same. LCM of 5 and 3 is 15.
Total number of shortbreads that Lucy and Abi have
= 12 u + 3 u
= 15 u
Number of more shortbreads that Lucy and Abi have than Dana
= 15 u - 5 u
= 10 u
10 u = 80
1 u = 80 ÷ 10 = 8
Number of more shortbreads that Lucy has than Abi
= 12 u - 3 u
= 9 u
= 9 x 8
= 72
Answer(s): 72
