Answer:
Laura has $4.50 in dimes and quarters she has 3 more dimes than quarters How many quarters does she have
She has 3 more dimes than quarters. How many quarters does she have? Laura has 15 dimes and 12 quarters.
Step-by-step explanation:
Answer:
12 quarters
Step-by-step explanation:
Thus :
0.1
a
+
0.25
b
=
4.5
And we know that she has 3 more dimes than quarters
Thus :
a
=
b
+
3
We just replace the value of a in the equation :
0.1
⋅
(
b
+
3
)
+
0.25
b
=
4.5
0.1
b
+
0.3
+
0.25
b
=
4.5
0.1
b
+
0.25
b
=
4.5
−
0.3
( we substract 0.3 on each side )
0.35
b
=
4.2
b
=
4.2
0.35
( we divide by 0.35 on each side )
b
=
12
: Laura has
12
quarters
We can now get
a
:
0.1
a
+
0.25
b
=
4.5
0.1
a
+
0.25
⋅
12
=
4.5
0.1
a
+
3
=
4.5
0.1
a
=
4.5
−
3
( we substract 3 on each side )
0.1
a
=
1.5
a
=
1.5
0.1
( we divide by 0.1 on each side )
a
=
15
: Laura has
15
dimes
We can now verify :
15
⋅
0.1
+
12
⋅
0.25
=
1.5
+
3
=
4.5
: correct !
And
15
=
12
+
3
, so Laura has
3
more dimes than quarters
