Ratio and Cross MultiplicationGeorge had 121 sweets and Emmy had 328 sweets.After they gave away the same number of sweets, the ratio of George to...

Let' note the number of sweets given away by both of them
as x.

George gave away 121 - x sweets and Emmy gave away
328 - x sweets.

After this, the ratio obtained
is:

(121 - x)/(328 - x) =
1/4

We'll cross multiply and we'll
get:

4*(121 - x) = 328 -
x

We'll remove the
brackets:

484 - 4x = 328 -
x

We'll shift 4x to the
right:

484 = 4x + 328 -
x

We'll combine like
terms:

484 = 3x + 328

We'll
isolate 3x to the right:

484 - 328 =
3x

3x = 156

x =
52

The total number of sweets given away by
both of them is x + x = 52+52 = 104 sweets.