$1.$ You take aluminum cans and plastic bottles to a recycling center. You put the cans and bottles into a machine that tells you that the total mass of the items you are returning is between $325$ and $350$ grams. Use the masses in the table below to find how many of each can or bottle you could have recycled. Show your thinking using equations on the Recording Sheet.Items:aluminum can $=13\mathrm{.}68$ grams plastic bottle $=12\mathrm{.}7$ grams $2.$ The machine pays you $$0\mathrm{.}05$ per aluminum can and $$0\mathrm{.}10$ per plastic bottle. You recycle at least one of each item. Using the information from Question $1,$ what is the greatest amount of money you could get for the cans and bottles you recycle?Show your thinking on the Recording Sheet.

Solve these two questions