Question

The ratio of tomatoes to red apples is 2:5. if there is 20 tomato,hiw many red apple are there

Answer 1

the ratio of tomatoes to red apples is

`(2)/(5)`

this ratio must be the same when you have 20 tomatoes, this means that:

`(2)/(5)=(20)/(x)`

where x is the (unknow) number of apples. Hence, we have:

`\begin{gathered} (2)/(5)=(20)/(x)\Rightarrow x((2)/(5))=20 \\ \text{hence} \\ x=(20)/((2)/(5)) \\ \end{gathered}`

then, we need to divide 20 into 2/5. We can do that by applying the "sandwich law":

`\begin{gathered} x=(20)/((2)/(5))=((20)/(1))/((2)/(5)) \\ x=(20\cdot5)/(1\cdot2) \\ x=10\cdot5 \\ x=50 \end{gathered}`

therefore, if there are 20 tomatoes, we have 50 apples.