Answer:
Thus, Sue has 24 dimes and 76 quarters.
steps:
Let d be the number of dimes Sue has and let q be the number of quarters As she has 2140 cents total, a dime is worth 10 cents, and a quarter is worth 25 cents, we obtain the following system of equations:
{
d
+
q
=
100
10
d
+
25
q
=
2140
From the first equation, we have
d
=
100
−
q
Substituting that into the second equation, we have
10
(
100
−
q
)
+
25
q
=
2140
⇒
1000
−
10
q
+
25
q
=
2140
⇒
15
q
=
1140
⇒
q=
1140
/15
=
76
Knowing that q
=
76 we can substitute that value into the first equation to obtain
d
+
76
=
100
∴
d
=
24
