Question

Peter, henry and john shared $345 between them. Peter received $45, henry received $75 and john received the rest.

Answer 1

Answer:

Step-by-step explanation:

Let J = John's share ($)

     P = Peter's share ($)

     H = Henry's share ($)

 

1) H = P + 80

 

2) J/P = 6/3 = 2

 

3) P/H = 3/5  

 

Substitute equation 1) into equation 3)

 

P/(P + 80) = 3/5            (multiply both sides by (P + 80)

 

P = (3/5)*(P + 80)         (multiply both sides by 5)

 

5*P = 3*P + 240

 

2*P = 240

 

P = 240/2 = $120

 

Substitute P value into equation 2)

 

J/P = 2  or

 

J = 2*P = 2*$120 = $240

 

John received $240

 

 

Answer 2

Answer:

John received $240

Step-by-step explanation:

Let J = John's share ($)

P = Peter's share ($)

H = Henry's share ($)

1) H = P + 80

2) J/P = 6/3 = 2

3) P/H = 3/5

Substitute equation 1) into equation 3)

P/(P + 80) = 3/5 (multiply both sides by (P + 80)

P = (3/5)*(P + 80) (multiply both sides by 5)

5*P = 3*P + 240

2*P = 240

P = 240/2 = $120

Substitute P value into equation 2)

J/P = 2 or

J = 2*P = 2*$120 = $240

Hope this helps!!