Question

Half of an orange juice mixture is orange concentrate. Explain why the ratio of orange concentrate to water is 1 : 1.

Answer 1

I need the answer to this as hell

Answer 2

Answer:  The explanation is given below.

Step-by-step explanation:  Given that half of an orange  juice mixture is orange concentrate.

We are to explain the reason behind the ratio of orange concentrate to water being 1 : 1.

Let x be the quantity of the total orange juice mixture.

Then, according to the given information, the orange concentrate in the mixture will be

$q_o=\dfrac{1}{2}\times x=\dfrac{x}{2}.$

The rest of the mixture will be water, of course. The quantity of water in the mixture will be

$q_w=x-\dfrac{x}{2}=\dfrac{x}{2}.$

Therefore, the ratio of orange concentrate to water is given by

$r=q_o:q_w=\dfrac{x}{2}:\dfrac{x}{2}=\dfrac{\frac{x}{2}}{\frac{x}{2}}=\dfrac{1}{1}=1:1.$

Thus, the ratio of  orange concentrate to water is 1 : 1.

Hence explained.