three numbers are in the ratio 3:7:9, if their sum is 904, what are the numbers

解

t h ree n u mb ers a re in t h e r a t i o 3 : 7 : 9, i f t h e i r s u m i s 904, w ha t a re t h e n u mb ers

The numbers : 142 \frac{14}{19}, 333 \frac{1}{19}, 428 \frac{4}{19}

解答ステップ

Represent the numbers in ratio 3:7:9 with

x

3 x

7 x

9 x

Write an equation for the sum:

3 x + 7 x + 9 x = 904

x

を解く

3 x + 7 x + 9 x = 904 : x = \frac{904}{19}

3 x = 3 \cdot \frac{904}{19} = \frac{2712}{19}

7 x = 7 \cdot \frac{904}{19} = \frac{6328}{19}

9 x = 9 \cdot \frac{904}{19} = \frac{8136}{19}

仮分数を帯分数に変換する:

\frac{2712}{19} = 142 \frac{14}{19}

仮分数を帯分数に変換する:

\frac{6328}{19} = 333 \frac{1}{19}

仮分数を帯分数に変換する:

\frac{8136}{19} = 428 \frac{4}{19}

The numbers : 142 \frac{14}{19}, 333 \frac{1}{19}, 428 \frac{4}{19}