Question

Nathaniel can't remember exactly how many cupcakes Haley and Virgil made for the Halloween party but he did remember that all together Haley and Virgil and he had made 156 cupcakes he also remembered that he and Haley and made 110 and he and Virgil has made 94 how many did each person make

Answer 1

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