There are only HB and F type pencils in the store. The ratio of the number of HB to F is 3 : 2. If there are 12F type pencils, how many pencils are there altogether?

Respuesta :

Hello!

Let's put this as a proportion below and solve.

[tex] \frac{HP}{F} =\frac{3}{2} =\frac{HP}{12} [/tex]

To solve for HP, we can see that we multiplied 2 by 6 to get to 12. We can do the same for 3.

3(6)=18

Just to check, we can cross multiply.

2x=36

x=18

Now we add.

18+12=30

Therefore, there are 30 pencils.

I hope this helps!