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Popular Word Problems >

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

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Solution

Threenumbersareintheratio1:3:7.ifthesumofthethreenumbersis320.whatarethenumbers?

Solution

Thenumbers:29111​,87113​,203117​
Solution steps
Represent the numbers in ratio 1:3:7 with x
x
3x
7x
Write an equation for the sum:x+3x+7x=320
Solve for x,x+3x+7x=320:x=11320​
x=11320​
3x=3⋅11320​=11960​
7x=7⋅11320​=112240​
Convert improper fractions to mixed numbers:11320​=29111​
Convert improper fractions to mixed numbers:11960​=87113​
Convert improper fractions to mixed numbers:112240​=203117​
Thenumbers:29111​,87113​,203117​

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