Question

in a bag there are red and green balls in the ratio of 2:7. if there are 14 red balls,how many green balls are there

Answer 1

For the information given in the statement you have

`\frac{\text{ number of red balls}}{\text{ number of green balls}}=(2)/(7)`

Then

`(2)/(7)=\frac{14\text{ red balls}}{x\text{ green balls}}`

Solving for x

`\begin{gathered} (2)/(7)=(14)/(x) \\ \text{ Apply cross multiplication} \\ 2\cdot x=14\cdot7 \\ 2x=98 \\ \text{ Divide by 2 into both sides of the equation} \\ 2x=(98)/(2) \\ x=49 \end{gathered}`

Therefore, there are 49 green balls.