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?

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=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 = 0.84 \%

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