Question

Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick? 29, because the number of books is 95 over 4 multiplied by 5 over 4 28, because the number of books is 95 over 4 divided by 4 over 5 19, because the number of books is 95 over 4 divided by 5 over 4 17, because the number of books is 95 over 4 multiplied by 4 over 5

Answer 1

Answer:

The answer is:

• 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Samantha has a shelf that is 95 over 4 inches wide.

i.e. thickness of shelf=95/4 inches

Also, each book is 5 over 4 inches thick

This means that the thickness of one book is: 5/4 inches

Now,let n be the total number of books that could be arranged in the shelf.

This means that:

$\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}$

i.e.

$n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}\\\\i.e.\\\\n=\dfrac{95\times 4}{5\times 4}\\\\i.e.\\\\n=\dfrac{95}{5}\\\\i.e.\\n=19$

Answer 2

Namely, how many times does 5/4 go into 95/4?   well, let's just divide,

$\bf \cfrac{\quad \frac{95}{4}\quad }{\frac{5}{4}}\implies \cfrac{95}{\underline{4}}\cdot \cfrac{\underline{4}}{5}\implies \cfrac{95}{5}\implies 19$