Xuan had
45 as many mini cupcakes as Daniel. Daniel had
37 as many mini cupcakes as Fred. If Fred had 161 more mini cupcakes than Xuan, find the total number of mini cupcakes that was shared among these 3 children at first.
Xuan |
Daniel |
Fred |
4x3 |
5x3 |
|
|
3x5 |
7x5 |
12 u |
15 u |
35 u |
Daniel is the repeated identity.
LCM of 5 and 3 = 15
Number of more mini cupcakes that Fred had more than Xuan
= 35 u - 12 u
= 23 u
23 u = 161
1 u = 161 ÷ 23 = 7
Total number of mini cupcakes
= 12 u + 15 u + 35 u
= 62 u
= 62 x 7
= 434
Answer(s): 434