A bottle and a cab together cost $1.10 the bottle cost a dollar more than the cab how much does each cost

Question

i dont know how to set this problem up

Answer 1

Hi there!

So as we are thinking about this, we know that we have two things a bottle and a cab, whose costs add up to $1.10. We will call the price of the bottle "b" and the price of the cab "c".

So, in an equation... b + c = $1.10.

We also know that the bottle costs a dollar more than the cab. So we know that the price of the cab, plus one dollar, will equal the price of the bottle.

So, in an equation... c + $1.00 = b

Now, we can use the information from the second equation in the first! Sub, c + $1.00 in for b in the first equation.

c + $1.00 + c = $1.10

c + c = $0.10

c = $0.05

And then, use this to solve for b from either equation (I will use the second equation!)

c + $1.00 = b

$0.05 + $1.00 = b = $1.05

The cab costs 5 cents, and the bottle costs $1.05.