Question

Find 2x:3y if x:y = 2:5

Answer 1

4 : 15

Step-by-step explanation:
`\begin{gathered} \text{x : y = 2: 5} \\ (x)/(y)\text{ = }(2)/(5) \\ \\ 2x\text{ : 3y = ?} \end{gathered}`
`\begin{gathered} 2x\colon\text{ 3y = }(2x)/(3y) \\ 2x\colon3y\text{ = }(2)/(3)*(x)/(y) \end{gathered}`
`\begin{gathered} \text{substitute for x/y in 2x:3y} \\ (2)/(3)*(x)/(y)\text{ =}(2)/(3)*(2)/(5) \\ =\text{ }(4)/(15) \\ \\ \text{Hence, 2x:3y = }(4)/(15) \\ or \\ 4\colon15 \end{gathered}`