Respuesta :
Answer:
Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4
Step-by-step explanation:
Given : Samantha has a shelf that is 95 over 4 inches wide.
To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?
Solution :
The thickness of shelf = [tex]\frac{95}{4}[/tex] inches
Each book thickness = [tex]\frac{5}{4}[/tex] inches
Let the total number of books that could be arranged in the shelf be 'n'.
[tex]\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}[/tex]
Substitute the values,
[tex]n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}[/tex]
[tex]n=\dfrac{95\times 4}{5\times 4}[/tex]
[tex]n=\dfrac{95}{5}[/tex]
[tex]n=19[/tex]
Therefore, option 1 is correct.
19, because the number of books is 95 over 4 divided by 5 over 4
Answer:
Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4
Step-by-step explanation:
The question has given us the shelf and book measurements. Now, we need to see how many books can fit on the shelf.
In order to solve, we need to do KCR, or Keep, Change, Reciprocal.
So, we keep the first fraction, change the division sign to a multiplication sign, then do the reciprocal of the other fraction.
It will look like this: [tex]\frac{95}{4}[/tex] ÷ [tex]\frac{5}{4}[/tex] → [tex]\frac{95}{4}[/tex] × [tex]\frac{4}{5}[/tex]
Now that we have the equation ready, we can solve.
Let's first solve the numerators.
[tex]95[/tex] × [tex]4[/tex] = 380
Now the denominators.
[tex]4[/tex] × [tex]5[/tex] = 20
Our answer is [tex]\frac{380}{20}[/tex] , but let's simplify.
We should do 380 ÷ 20.
380 ÷ 20 = 19
Therefore, the correct answer is option 1: 19, because the number of books is 95 over 4 divided by 5 over 4
Hope this helps!
