Proportion 3

For every 8 mango trees in the orchard, there are 4 star apple trees. If there are 1320 trees, how many trees of each kind are there?

Result

m =  880
a =  440

Solution:

t=m+a m:a=8:4  t=1320  m=t⋅ 88+4=1320⋅ 88+4=880t=m+a \ \\ m:a=8:4 \ \\ \ \\ t=1320 \ \\ \ \\ m=t \cdot \ \dfrac{ 8 }{ 8+4 }=1320 \cdot \ \dfrac{ 8 }{ 8+4 }=880
a=t⋅ 48+4=1320⋅ 48+4=440a=t \cdot \ \dfrac{ 4 }{ 8+4 }=1320 \cdot \ \dfrac{ 4 }{ 8+4 }=440

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