Question

jame, andre and Marie picked apples. andre picked three times as many pounds as Maria. Jane picked 2 times as many pounds as andre. the total weight of the apples is 840 pounds. how many pounds of apples does andre pick? please show your work and answer thank you

Answer 1

Let A be the pound Andre picked, J be the pounds Jamie picked and M be the pound Marie picked. Since Andre picked three times as many pounds as Maria, we have

`\begin{gathered} A=3M \\ \text{which gives} \\ M=(A)/(3)\ldots(1) \end{gathered}`

Similarly, since Jane picked 2 times as many pounds as Andre, we have

`J=2A\ldots(2)`

and since the total weight is 840 pounds, we get

`A+J+M=840\ldots(3)`

By substituting equation (1) and (2) into equation (3), we have

`A+2A+(A)/(3)=840`

which gives