ANSWER
Find out the how many cans does each one have.
To proof
As given
Amelia and Elliott are collecting empty soda cans for recycling
Amelia has 13 less than 5 times the cans that Elliott has.
let us assume that the Elliott has can be =x
Amelia can = 5x -13
Total can = 257 cans
than the equation becomes
x + 5x - 13 = 257
6x = 257 +13
6x = 270
x = 45
Elliott has can be = 45cans
Amelia can = 5 × 45 - 13
= 212cans
Hence proved