Question

A perfume is to be mixed in the ratio of 5 drops of pure essence to 7 drops of alcohol. How many drops of pure essence should be mixed with 42 drops of alcohol?

Answer 1

5/7 = 42/x
5x=294
5x divided by 5
294 divided by 5
X= 58.8

Answer 2

Answer:

30 drops

Step-by-step explanation:

To find out how many drops of pure essence should be mixed with 42 drops of alcohol in the ratio of 5:7, we need to set up a proportion based on the given ratio.

Given:

• Ratio of pure essence to alcohol is 5:7.

Let $x$ be the number of drops of pure essence.

According to the given ratio, the number of drops of pure essence to the number of drops of alcohol should be $5:7$.

So, we can set up the proportion:

$\dfrac{x}{42} = \dfrac{5}{7}$

To solve for $x$, we cross-multiply:

$7x = 5 \times 42$

$7x = 210$

Now, divide both sides by 7 to isolate $x$:

$x = \dfrac{210}{7}$

$x = 30$

Therefore, 30 drops of pure essence should be mixed with 42 drops of alcohol to maintain the ratio of 5:7.