Answer:
1500 cans
Step-by-step explanation:
Hi there!
In this problem Dennis can either bring cans to the supermarket or to the recycling center.
If Dennis brings cans to the supermarket, he'll earn 5 cents per can. That means that if Dennis brings c cans, he'll receive 0.05c dollars (as we're talking about cents, it'll be written as 0.05, not 5).
Dennis can also bring cans to the recycling center. He'll earn 6 cents there, but he needs to pay a $15 fee.
In that case, c cans will allow Dennis to earn 0.06c dollars, but as Dennis needs to pay $15 every time he goes to the recycling center, he'll be LOOSING $15. Hence, going to the recycling center will be 0.06c-15
We want to figure out how many cans Dennis will need to return to receive the same amount of money from both the supermarket and the recycling center. So that means that 0.05c will have to equal 0.06c-15 (it'll be the same amount of money).
That means as an equation:
0.05c=0.06c-15
Subtract 0.06c from both sides
-0.01c=-15
Divide both sides by -0.01
c=1500
You can plug 1500 as c in the equation to double check:
0.05(1500)=0.06(1500)-15
75=90-15
75=75
It works!
So Dennis will need to bring 1500 cans to get the same amount of money at both places
Hope this helps!
