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eduard
3 years ago
10

Benny is 12 years old. He is currently 200% of his sisters age. What percent of Benny's age will his sisters age be in 4 years?

Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0
If Benny is 12 right now, that means that he is twice his sisters age because he is 200% of or 2 times his sister's age. His sister right now is 6 years old then. 
After 4 years, Benny will be 16 (add 4 to 12) and his sister will be 10. 
To find the percentage,divide his age by his sister's age and make it a percentage.
16/10=1.6=160%
Hope this helps.
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The formulas:
\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
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Expand the expression:
\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p

Plug the values into the expression:
\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
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