Answer :
Answer: Susan has $34, Deandre has $25, and Joe has $100
Step-by-step explanation: Let be the amount of money Susan has,
D be the amount of money Deandre has, and be the amount of money Joe has. From the problem statement, we have the following relationships:
+
+
=
159
S+D+J=159
=
−
9
D=S−9
=
4
J=4D
First, substitute
D and
J from equations (2) and (3) into equation (1):
+
(
−
9
)
+
4
(
−
9
)
=
159
S+(S−9)+4(S−9)=159
Simplify and combine like terms:
+
−
9
+
4
−
36
=
159
S+S−9+4S−36=159
6
−
45
=
159
6S−45=159
Add 45 to both sides to solve for
S:
6
=
204
6S=204
=
34
S=34
Now, find
D and
J using
=
34
S=34:
=
−
9
=
34
−
9
=
25
D=S−9=34−9=25
=
4
=
4
×
25
=
100
J=4D=4×25=100
So, the amounts are:
Susan has
=
34
S=34
Deandre has
=
25
D=25
Joe has
=
100
J=100
To verify, check the total:
34
+
25
+
100
=
159
34+25+100=159
Thus, Susan has $34, Deandre has $25, and Joe has $100.
