how many cups of water should be mixed with 12 cups of cleaning fluid?

[eddy2017]

dear tutors, any hint to get me started?
a cleaning mixture requires two parts of cleaning fluid for every 5 parts of water. how many cups of water should be mixed with 12 cups of cleaning fluid?

 

[nasi112]

You have this ratio.

Fluid : Water

2 : 5

What number if you multiply it by [MATH]2[/MATH] gives you [MATH]12[/MATH]? The same number multiply it by [MATH]5[/MATH] to get the answer

 

[eddy2017]

You have this ratio.

Fluid : Water

2 : 5

What number if you multiply it by [MATH]2[/MATH] gives you [MATH]12[/MATH]? The same number multiply it by [MATH]5[/MATH] to get the answer

thanks for helping
6 * 2 =12
6*5=30
30 cups
I do not know the reason, though. the 'why 6* 2'.
thanks!

 

[nasi112]

thanks for helping
6 * 2 =12
6*5=30
30 cups
I do not know the reason, though. the 'why 6* 2'.
thanks!

The logic is Like that

If I have 2 fluids, I have 5 waters.

If I have 4 fluids, I have 10 waters.

If I have 6 fluids, I have 15 waters.

Then,

12 Fluids needs 30 Waters.

In simple words, if you double the Fluid, you have to double the water.

 

[nasi112]

You can also think of it like a equation.

[MATH]\frac{5}{2} = \frac{x}{12}[/MATH]
It is read like this, if [MATH]5[/MATH] waters need [MATH]2[/MATH] fluids, how many [MATH]x[/MATH] waters need [MATH]12[/MATH] fluids. Solve for [MATH]x[/MATH].

 

[eddy2017]

Wow, that was good. Thanks a lot

 

[eddy2017]

You can also think of it like a equation.

[MATH]\frac{5}{2} = \frac{x}{12}[/MATH]
It is read like this, if [MATH]5[/MATH] waters need [MATH]2[/MATH] fluids, how many [MATH]x[/MATH] waters need [MATH]12[/MATH] fluids. Solve for [MATH]x[/MATH].

I like this even better

 

[nasi112]

Wow, that was good. Thanks a lot

You're welcome