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Gala2k
18 days ago
15

If 65% of a number is 1,105, what is 82% of the number?

Mathematics
2 answers:
Leona [9.2K]18 days ago
8 0

Answer: 1394


Step-by-step explanation:

Let the variable be x

It is given that 65% of the number equals 1,105.

\Rightarrow0.65\times\ x=1105\text{ [ Convert percent into decimal]}\\\Rightarrow\ x=\frac{1105}{0.65}\text{[ Divide 0.65 on both sides ]}\\\Rightarrow\ x=1700

To compute 82% of 1700, convert 82% into a decimal and multiply it by 1700, as shown:

82% of 1700=0.82\times1700=1394.

Thus, if 65% of the number is 1,105, then 82% of 1700 equals 1394.

Inessa [8.9K]18 days ago
6 0
To find the original number where 65% equals 1105:
0.65x = 1105
x = 1105 ÷ 0.65
x = 1700... hence, the original number is 1700.

Calculating 82% of 1700:
0.82 * 1700 = 1394 <== this is your answer.
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