fr

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Populaire >

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

Solution

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

Solution

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

étapes des solutions

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

Solutionner pour

x, x + 3 x + 7 x = 320 : 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}

Convertir des fractions impropres en nombres mixtes:

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

Convertir des fractions impropres en nombres mixtes:

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

Convertir des fractions impropres en nombres mixtes:

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

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

Exemples populaires

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?