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Problems
Contests
National and Regional Contests
India Contests
India LIMIT
2019 LIMIT
2019 LIMIT Category A
Problem 6
Problem 6
Part of
2019 LIMIT Category A
Problems
(1)
more liquid ratios
Source: LIMIT 2019 CAS1 P6
4/28/2021
Vessel
A
A
A
has liquids
X
X
X
and
Y
Y
Y
in the ratio
X
:
Y
=
8
:
7
X:Y=8:7
X
:
Y
=
8
:
7
. Vessel
B
B
B
holds a mixture of
X
X
X
and
Y
Y
Y
in the ratio
X
:
Y
=
5
:
9
X:Y=5:9
X
:
Y
=
5
:
9
. What ratio should you mix the liquids in both vessels if you need the mixture to be
X
:
Y
=
1
:
1
X:Y=1:1
X
:
Y
=
1
:
1
?
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
4
:
3
<span class='latex-bold'>(A)</span>~4:3
<
s
p
an
c
l
a
ss
=
′
l
a
t
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x
−
b
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′
>
(
A
)
<
/
s
p
an
>
4
:
3
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
30
:
7
<span class='latex-bold'>(B)</span>~30:7
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
30
:
7
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
17
:
25
<span class='latex-bold'>(C)</span>~17:25
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
17
:
25
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
7
:
30
<span class='latex-bold'>(D)</span>~7:30
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
7
:
30
ratio
algebra