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UPSC CDS Math Linear Equations in One and Two Variables Questions
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© examsnet.com
Question : 3
Total: 41
A person carries ₹500 and wants to buy apples and oranges out of it. If the cost of one apple is ₹5 and the cost of one orange is ₹7, then what is the number of ways in which a person can buy both apples and oranges using total amount ?
[2019 CDS-II]
10
14
15
17
Validate
Solution:
Let
x
and
y
be the number of apples and oranges bought by the person.
5
x
+
7
y
=
500
⇒
y
=
500
−
5
x
7
=
5
(
100
−
x
)
7
for
x
and
y
to be integers
For
x
=
(
2
,
9
,
16
,
23
,
30
,
37
,
46
,
51
,
58
,
65
,
72
,
79
,
86
,
93
)
y
gives integer value
Hence, required number
=
14
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