Question

Jane and Mo have 528 parcels to

deliver in total.
Jane has 3 times as many parcels
as Mo to deliver.
Jane gives Mo some parcels.
They now have the same amount
to deliver.
How many parcels did Jane give
Mo?​

Answer 1

Jane gave 132 parcels to Mo.

Explanation:

Given total number of parcels both Jane and Mo have = 528.

Let the number of parcels having Jane and Mo be x and y respectively.

`Therefore\ x\ +\ y\ =\ 528\ equation\ 1\\x\ =\ 3y\ equation\ 2`

Now let the number of parcels Jane gives to Mo be z.

`So\ according\ to\ question\ x-z = y+z\\3y-z=y+z(from\ equation\ 2)\\2y=2z\\y=z`

`x+y=528\\3y+y=528\\4y=528\\y=132\\y=z=132`

So the number of parcels Jane give to Mo is 132.