Question

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? A. Elliott has 44 cans, Amelia has 213 cans B. Elliott has 212 cans, Amelia has 45 cans C. Elliott has 45 cans, Amelia has 212 cans D. Elliott has 43 cans, Amelia has 214 cans

Answer 1

The answer is C

Start by making two equations with the given information

The first would just be their total cans:
E + A = 257

The second would be:
5E - A = 13

Then combine the equations to eliminate one variable.

6E = 270
E = 45

Now plug E back into one of the equations.

45 + A = 257
A = 212