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شائع Word Problems >

Three numbers are in the ratio 1:3:7. if the sum of the three numbers is 320. what are the numbers?

الحلّ

T h ree n u mb ers a re in t h e r a t i o 1 : 3 : 7. i f t h e s u m o f t h e t h ree n u mb ers i s 320. w ha t a re t h e n u mb ers ?

الحلّ

The numbers : 29 \frac{1}{11}, 87 \frac{3}{11}, 203 \frac{7}{11}

خطوات الحلّ

Represent the numbers in ratio 1:3:7 with

x

x

3 x

7 x

Write an equation for the sum:

x + 3 x + 7 x = 320

x + 3 x + 7 x = 320, x

حلّ لـ:

x = \frac{320}{11}

x = \frac{320}{11}

3 x = 3 \cdot \frac{320}{11} = \frac{960}{11}

7 x = 7 \cdot \frac{320}{11} = \frac{2240}{11}

حوّل من كسر تخيّليّ لعدد مختلط:

\frac{320}{11} = 29 \frac{1}{11}

حوّل من كسر تخيّليّ لعدد مختلط:

\frac{960}{11} = 87 \frac{3}{11}

حوّل من كسر تخيّليّ لعدد مختلط:

\frac{2240}{11} = 203 \frac{7}{11}

The numbers : 29 \frac{1}{11}, 87 \frac{3}{11}, 203 \frac{7}{11}

أمثلة شائعة

Three sevenths of a number is 24. FInd the number If 3/4 of a number is 10 more than 1/3 the number, then what is the number?Five less than twice a number is 11. What is the number?Six times a number is equal to the number increased by 10 . Find the number.Five times a number increased by 10 is 40. What is the number?