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Amelia and Elliott are collecting empty soda cans for recycling. Amelia has 13 less than 5 times the cans that Elliott has. Together, they have 257 cans. How many cans does each one have?

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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