the difference between 75% of a number and 20% of the same number is 378.9 what is 40% of that number?

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03-11-2022
Mathematics

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the difference between 75% of a number and 20% of the same number is 378.9 what is 40% of that number?

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KaiyleeN745173 KaiyleeN745173 · Answer 1 · 2022-11-03T10:37:17+01:00

KaiyleeN745173 KaiyleeN745173

03-11-2022

[tex]\begin{gathered} \text{ If we note by "x" our number, then} \\ 0.75\cdot x-0.2x=378.9 \\ (0.75-0.2)x=378.9 \\ 0.55x=378.9 \\ x=\frac{378.9}{0.55} \\ x=688 \end{gathered}[/tex]

Thus, the 40% of the number is

[tex]688.909\cdot0.4=275.563[/tex]

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