A full bottle of juice costs $2.00.If the cost of the juice is $1.50 more than the cost of the bottle, how much does the empty bottle cost? Hint: Answer is not 50 cents
juice + bottle = 2.00
or
j + b = 2.00
j - b = 1.50
===============subtract
0 + 2 b = .50
b = .25
To find out how much the empty bottle costs, we need to use a bit of algebra.
Let's assume the cost of the bottle is "x" dollars. We know that the cost of the juice is $1.50 more than the cost of the bottle, so we can write it as "x + $1.50".
Now, we are given that the full bottle of juice costs $2.00. This includes the cost of the bottle and the juice, so it can be expressed as "x + (x + $1.50) = $2.00".
Simplifying this equation, we get "2x + $1.50 = $2.00".
To isolate the variable, we subtract $1.50 from both sides:
2x + $1.50 - $1.50 = $2.00 - $1.50
This simplifies to:
2x = $0.50
Finally, we divide both sides of the equation by 2 to solve for x:
2x/2 = $0.50/2
x = $0.25
Therefore, the empty bottle costs $0.25.