Mary has 3 times as many tarts as Jaslyn. The total number of Mary's and Jaslyn's tarts is 7 times of Abi's. Mary and Jaslyn have 264 tarts more than Abi's. How many less tarts does Abi have than Mary?
| Mary |
Jaslyn |
Abi |
| 3x7 |
1x7 |
|
| 7x4 |
1x4 |
| 21 u |
7 u |
4 u |
The total number of tarts that Mary and Jaslyn have is repeated. Make the total number of tarts that Mary and Jaslyn have the same. LCM of 4 and 7 is 28.
Total number of tarts that Mary and Jaslyn have
= 21 u + 7 u
= 28 u
Number of more tarts that Mary and Jaslyn have than Abi
= 28 u - 4 u
= 24 u
24 u = 264
1 u = 264 ÷ 24 = 11
Number of less tarts that Abi has than Mary
= 21 u - 4 u
= 17 u
= 17 x 11
= 187
Answer(s): 187
