Question

Tony separates a number of paintbrushes, x, into 3 equally sized groups. He claims that this is the same as making a group 1/3 the size of his original group. Create an equation that models Tony's claim.

Answer 1

Answer:

Size of each group = $\frac{x}{3}$

Step-by-step explanation:

Total number of paint brushes = x

Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3

∴ We have, number of paint brushes in a group = $\frac{Total number of paintbrushes}{3}$

= $\frac{x}{3}$

this is also the same thing as saying $\frac{1}{3}$×$\frac{x}{1}$

This shows that the size of the new group is the same as $\frac{1}{3}$ the size of the original group