Answer:
Alana bought 4 cans of paint additive
Step-by-step explanation:
Proportions
If a proportional amount of x is to be distributed between y elements, each one of them gets x/y portions.
For example, if we have 100 coins and distribute evenly between 20 boxes, each box will receive 100/20=5 coins.
Alana bought 1/2 of a liter of the special paint additive and evenly distributed it between an unknown number of cans, let's call it C. We also know each can received 1/8 of a liter of the additive. That is the proportion of the 1/2 liter of additive.
We can establish the following condition:
[tex]\displaystyle \frac{1/2}{x}=\frac{1}{8}[/tex]
Solving for x:
[tex]\displaystyle \frac{1/2}{\frac{1}{8}}=x[/tex]
Transform the division into a product:
[tex]\displaystyle x=\frac{1}{2}\cdot\frac{8}{1}=4[/tex]
Alana bought 4 cans of paint additive
