Answer:
$16.00
Explanation:
Eq1:
s
+
b
=
47.50
"Bryan spent
$
15.50
less than what Sarah spent":
Eq2:
b
=
s
−
15.50
Now we need to solve for
b
. First we'll solve Eq1 to get an expression for
s
. Then we can substitute that result into Eq2 to find
b
, which is what we are searching for!
Solving Eq1 for
s
:
Eq3:
s
=
47.50
−
b
Eq3 -> Eq2:
b
=
(
47.50
−
b
)
−
15.50
b
=
32.00
−
b
2
b
=
32.00
⇒
b
=
16.00