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Total hotdogs that Alex and Ben ate = 11 * 2 = 22

Total hotdogs that Ben, Chloe and David ate = 21 * 3 = 63

If Ben ate u hotdogs, Alex ate (22 – u) hotdogs. 

Given 

((22 – u ) + 63)/4 = u                     multiply both sides by 4

85 – u = 4u

5u =85

u = 17

Ben ate 17 hotdog.

 

Check: If Ben ate 1 hotdog, Alex eaten 22 -17= 5 hotdogs.

Total hotdogs eaten by 4 persons = 5 + 63 = 68

68/4 = 17 checked

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