Question

Your cousin earned $4.80 last week by recycling an unknown number of cans and 7 plastic bottles. The cans were worth $0.05 each and the bottles were worth $0.10 each.

Answer 1

The number of cans recycled will be 82.

Explanation

Lets assume, the number of cans is $x$

There are 7 plastic bottles. Each can worth $0.05 and each bottle worth $0.10

So, the total earning from the cans $= 0.05x$ dollar

and the total earning from the bottles $= (0.10*7) = 0.70$ dollar

As the total earning from cans and bottles is given as $4.80, so...

$0.05x+0.70=4.80\\ \\ 0.05x = 4.80-0.70\\ \\ 0.05x= 4.10\\ \\ x= \frac{4.10}{0.05} \\ \\ x= 82$

So, the number of cans recycled will be 82.

Answer 2

82 cans were recycled