Question

21. A farmer has some fruit trees on her land. The table shows the numberof each type of fruit tree.Type of Fruit Number of TreesOrange12Lemon16Grapefruit8Fill in bubbles to match each verbal ratio to its numerical ratio.2:13:23:4Orange to lemonOrange to grapefruitLemon to grapefruito

Answer 1

In order to find each ratio, we just need to divide the number of elements of each fruit.

For example, to find a ratio of lemon to orange, we should divide the number of lemons by the number of oranges.

So we have:

`\begin{gathered} \text{orange to lemon:} \\ \text{ratio}=(12)/(16)=(12\colon4)/(16\colon4)=(3)/(4)=3\colon4 \\ \text{correct option: C} \\ \\ \text{orange to grapefruit:} \\ \text{ratio}=(12)/(8)=(12\colon4)/(8\colon4)=(3)/(2)=3\colon2 \\ \text{correct option}\colon\text{ E} \\ \\ \text{lemon to grapefruit:} \\ \text{ratio}=(16)/(8)=(16\colon8)/(8\colon8)=(2)/(1)=2\colon1 \\ \text{correct option: G} \end{gathered}`

So the correct options are C, E and G.