a welfare Association collected rupees
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Number and Variable:
In mathematics, to count, measure, and label any substance by using the number. To calculate the numbers by using the arithmetic operators.
A letter used to represent the unknown numbers or unknown quantity is known as a variable.
Answer and Explanation:
Assume that, the number of residents be
R
.
From the question, if each paid as many Rupees as there were residents.
That is
R
people donated
R
rupees.
A donation from the residents is rupees
202500
.
Finding the number of residents and each one of them paid rupees for donation:
R
×
R
=
202500
R
2
=
202500
R
=
±
√
202500
R
=
±
√
450
2
[
Factor the number:
202500
=
450
2
]
R
=
±
450
[
Apply radical rule
:
√
a
2
=
a
,
a
≥
0
]
∴
R
=
450
Hence, there were
450
residents and each one of them paid
450
rupees for donation.
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