Asked by Aiman
Sammy has $15 more than Billy .mary has twice as much as Sammy. James has$5 less than Mary. Together they have $130.how much does each person have?
Answers
Answered by
Bosnian
B = Bill's money
S = Sammy's money
M = Mary's money
J = James's money
Sammy has 15 $ more than Billy.
S = B + 15
Mary has twice as much as Sammy.
M = 2 S = 2 ( B + 15 ) = 2 B + 2 * 15 = 2 B + 30
James has 5 $ less than Mary.
J = M - 5 = 2 B + 30 - 5 = 2 B + 25
Together they have 130 $
B + S + M + J = 130
Enter values B, M, J and S in this expression.
B + B + 15 + 2 B + 30 + 2 B + 25 = 130
6 B + 70 = 130 Subtract 70 to both sides
6 B + 70 - 70 = 130 - 70
6 B = 60 Divide both sides by 6
B = 60 / 6 = 10 $
S = B + 15 = 10 + 25 = 25 $
M = 2 B + 30 = 2 * 10 + 30 = 20 + 30 = 50 $
J = 2 B + 25 = 2 * 10 + 25 = 20 + 25 = 45 $
S = Sammy's money
M = Mary's money
J = James's money
Sammy has 15 $ more than Billy.
S = B + 15
Mary has twice as much as Sammy.
M = 2 S = 2 ( B + 15 ) = 2 B + 2 * 15 = 2 B + 30
James has 5 $ less than Mary.
J = M - 5 = 2 B + 30 - 5 = 2 B + 25
Together they have 130 $
B + S + M + J = 130
Enter values B, M, J and S in this expression.
B + B + 15 + 2 B + 30 + 2 B + 25 = 130
6 B + 70 = 130 Subtract 70 to both sides
6 B + 70 - 70 = 130 - 70
6 B = 60 Divide both sides by 6
B = 60 / 6 = 10 $
S = B + 15 = 10 + 25 = 25 $
M = 2 B + 30 = 2 * 10 + 30 = 20 + 30 = 50 $
J = 2 B + 25 = 2 * 10 + 25 = 20 + 25 = 45 $
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