Answer :
Answer:
105
Step-by-step explanation:
60% of 70
is the same as 70 * .6
70 * .6 = 42
thus 42 is 40% of what?
42 = .4 * (x)
so divide by .4 on each sides to cancel it out on the right
[tex]42/.4 = x[/tex]
105 = x
105 is the answer
Unknown number is 105.
Let the unknown number is 'n'.
Expression for "40% of this number" = [tex]\frac{40}{100}(n)[/tex]
And 60% of 70 = [tex]\frac{60}{100}\times 70[/tex]
Now combine both the expressions,
60% of 70 = 40% of n
[tex]\frac{60}{100}\times 70=\frac{40}{100}\times n[/tex]
[tex]60\times 70=40n[/tex]
[tex]n=\frac{4200}{40}[/tex]
[tex]n=105[/tex]
Therefore, unknown number 'n' is 105.
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