Question

Question #8beb6

Answer 1

The first ounce costs `19₵`

Explanation:

Let the cost of the first ounce be `x`

The fraction is `->0.5=1/2color(white)("ddd")->22 ₵`
The count of ounces `->color(blue)(1)color(red)(+3)->color(white)(".d")66₵larr"For the additional "color(red)( 3)`
The first ounce `color(white)("ddddddddddd")->color(white)("d")ul(color(white)(n) x₵ larr"For the first ounce " color(blue)(1))`
`color(white)("ddddddddddddddddddddddddd.d")88₵ + x₵`

Given that the total cost is `$1.07 = 107₵` we have:

`88₵+x₵=107₵`
Dropping the `₵` sign for now

subtract `color(red)(88)` from both sides

`color(green)(88color(red)(-88)+x=107color(red)(-88)`

`0+x=19`

So the first ounce costs `19₵`