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 t

Question

aev [14]

2 years ago

5

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 t

hree of them combined have &92. Find how much money Lonnie has.

Mathematics

1 answer:

kkurt [141] · Answer 1 · 2022-05-30T19:24:44+03:00

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