Jane has $5 more than three times as much money as Lonnie has. Bob has $1 less than four times as much money as Lonnie has. All three of them combined have &92. Find how much money Lonnie has.

Question

Mathematics

Newman

27 May, 17:14

Jane has $5 more than three times as much money as Lonnie has. Bob has $1 less than four times as much money as Lonnie has. All three of them combined have &92. Find how much money Lonnie has.

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Answers (1)

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Juliana · Answer 1

Starting equation:

92=J+L+B

To find how much money Jane has, we use the equation:

J=5+3L

To find how much money Bob has, we use the equation:

B=4L-1

Enter those equations in the problem

92 = (5+3L) + L + (4L-1)

Combine like terms

92=4+8L

Subtract 4 to isolate variable

88=8L

Divide by 8 to isolate variable

11=L

Answer:

Lonnie has $11

Jane has $38

Bob has $43

side note: Lonnie is that one poor friend we all have