Answer:
Jill = 125lb
Pete = 175lb
Eddie = 157lb
Ken = 140lb
Step-by-step explanation:
Given
Represent Jill with J; Ken with K; Pete with P and Eddie with E
[tex]J = K - 15[/tex]
[tex]P = 50 +J[/tex]
[tex]E = P - 18[/tex]
[tex]J + K + P + E = 597[/tex]
Required
Determine the weight of each
Substitute 50 + J for P in [tex]E = P - 18[/tex]
[tex]E = 50 + J - 18[/tex]
[tex]E = J + 50 - 18[/tex]
[tex]E = J + 32[/tex]
Make K the subject in [tex]J = K - 15[/tex]
[tex]K = J + 15[/tex]
Substitute [tex]K = J + 15[/tex], [tex]E = J + 32[/tex], [tex]P = 50 +J[/tex] in [tex]J + K + P + E = 597[/tex]
[tex]J + J + 15 + 50 + J + J + 32 = 597[/tex]
Collect Like Terms
[tex]J + J +J + J = 597 - 32 - 50 - 15[/tex]
[tex]4J = 500[/tex]
[tex]J = 500/4[/tex]
[tex]J = 125lb[/tex]
Substitute 125 for J in [tex]P = 50 +J[/tex]
[tex]P = 50 + 125[/tex]
[tex]P = 175lb[/tex]
Substitute 175 for P in [tex]E = P - 18[/tex]
[tex]E = 175 - 18[/tex]
[tex]E = 157[/tex]
Substitute 125 for J in [tex]K = J + 15[/tex]
[tex]K = 125 + 15[/tex]
[tex]K = 140[/tex]
