Fruit tea

Tea contains 7% of fruit components and 12% of sugar in this component. How many percents of sugar is represented in the whole tea?

Correct result:

p =  0.84 %

Solution:

q1=7100=0.07 q2=12100=325=0.12  q=q1⋅ q2=0.07⋅ 0.12=212500=0.0084  p=100⋅ q=100⋅ 0.0084=2125=0.84%q_{1}=\dfrac{ 7 }{ 100 }=0.07 \ \\ q_{2}=\dfrac{ 12 }{ 100 }=\dfrac{ 3 }{ 25 }=0.12 \ \\ \ \\ q=q_{1} \cdot \ q_{2}=0.07 \cdot \ 0.12=\dfrac{ 21 }{ 2500 }=0.0084 \ \\ \ \\ p=100 \cdot \ q=100 \cdot \ 0.0084=\dfrac{ 21 }{ 25 }=0.84 \%

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