so if 6 is 30% of a value we know that the value let's say x multiplied by .3 is 6. so we can write an equation to solve for the value x
[tex].3x = 6 \\ x = \frac{6}{.3} \\ x = 6 \times \frac{10}{3} = 20[/tex]
so our value is 20 and as 10% of 20 is 2 we see 30% of 20 is 2×3=6
now we want to find 70% of 20 and 10% of 20. we already know 10% of 20 is 20 because to find 10% we take the value 20.0 and move the decimal 1 place to the left which gives us 2.0. To find 70% we can multiply 20 by .7 or since we know 10% just multiply that by 7 because 10% ×7 =70% so 2×7=14 so 14 is 70% of 20. solving the other way we get
[tex]20 \times .7 = 20 \times \frac{7}{10} = \frac{20}{10} \times 7 = 2 \times 7 \\ = 14[/tex]
so we can see we are correct!
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