Question

There were 20 more apples in basket A than in basket B. Mr. Bell transferred 50 apples from basket b to basket A. There were 3 times as many apples in basket A as in basket B. How many apples were there altogether?

Answer 1

240

Explanation:

Answer 2

Answer: The required number of apples altogether is 240.

Step-by-step explanation: Given that there were 20 more apples in basket A than in basket B.

Mr. Bell transferred 50 apples from basket b to basket A. There were 3 times as many apples in basket A as in basket B.

We are to find the total number of apples.

Let x and y represents the number of apples in bags A and B respectively.

Then, according to the given information, we have

`x=y+20~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

and

`x+50=3(y-50)\\\\\Rightarrow y+20+50=3y-150~~~~~~~~~~~~~~~~~~~~~~[\textup{using equation (i)}]\\\\\Rightarrow y+70=3y-150\\\\\Rightrarow 3y-y=70+150\\\\\Rightarrow 2y=220\\\\\Rightarrow y=(220)/(2)\\\\\Rightarrow y=110.`

From equation (i), we get

`x=y+20=110+20=130.`

Therefore, the total number of apples is given by

`n=x+y=130+110=240.`

Thus, the required number of apples altogether is 240.