Answer:
Haley = 62
Nathaniel = 48
Virgil = 46
Step-by-step explanation:
According to question ,
Haley + Virgil + Nathaniel had made total of = 156 cupcakes ..... 1
Haley + Nathaniel had made total of = 110 cupcakes ..... 2
Virgil + Nathaniel had made total of = 94 cupcakes ..... 3
So, from above three equations ,
From eq 2 and 3
(Haley + Nathaniel) - (Virgil + Nathaniel ) = 110 - 94
So, Haley - Virgil = 16 ..... 4
From eq 1 and 4
(Haley + Virgil + Nathaniel ) + ( Haley - Virgil ) = 156 + 16
2 Haley + Nathaniel = 172 ...... 5
From eq 2 and 5
( 2 Haley + Nathaniel ) - ( Haley + Nathaniel ) = 172 - 110 = 62
so, Haley = 62
In eq 5 put the Haley make value
so, Nathaniel = 172 - ( 2 × 62)
Nathaniel = 48
In eq 4 , put the value of Haley make value
So, Virgil = Haley - 16
Virgil = 62 - 16 = 46
Hence the value of all the three persons make is
Haley = 62
Nathaniel = 48
Virgil = 46 Answer
