Question

Melanie has pears and papayas in a ratio of 13:25. How many pears does she have ifshe has 2500 papayas?On the double number line below, fill in the given values, then use multiplication ordivision to find the missing value.

Answer 1

Given that the ratio of pears to papayas is 13:25,

`\frac{\text{ Pears}}{\text{ Papayas}}=(13)/(25)`

It means that Melanie has 13 pears, then the number of papayas must be 25.

It is asked to determine the number of pears corresponding to 2500 papayas.

First plot the values in the blank boxes on the double number line as below,

Let 'x' be the number of pears corresponding to 2500 papayas.

Now, cross multiply the terms,

`25\cdot x=13\cdot2500`

Divide both sides by 25,

`\begin{gathered} 25\cdot x\cdot(1)/(25)=13\cdot2500\cdot(1)/(25) \\ x=13\cdot100 \\ x=1300 \end{gathered}`

Thus, there should be 1300 pears corresponding to 2500 papayas.