Anna has 2 times as many shortbreads as Jen. The total number of Anna's and Jen's shortbreads is 8 times of Jean's. Anna and Jen have 147 shortbreads more than Jean's. How many more shortbreads does Anna have than Jen?
| Anna |
Jen |
Jean |
| 2x8 |
1x8 |
|
| 8x3 |
1x3 |
| 16 u |
8 u |
3 u |
The total number of shortbreads that Anna and Jen have is repeated. Make the total number of shortbreads that Anna and Jen have the same. LCM of 3 and 8 is 24.
Total number of shortbreads that Anna and Jen have
= 16 u + 8 u
= 24 u
Number of more shortbreads that Anna and Jen have than Jean
= 24 u - 3 u
= 21 u
21 u = 147
1 u = 147 ÷ 21 = 7
Number of more shortbreads that Anna has than Jen
= 16 u - 8 u
= 8 u
= 8 x 7
= 56
Answer(s): 56
