Roman has 2 red pencils in his backpack. if this is 25% of the total number of pencils, how many pencils are in his backpack??? PLEASE HELP!!!!!
Data:
If:
2 red pencils → 25% or 0.25
So:
"y" pencils → 75% or 0.75
The rule of three: (directly proportional)
\(\frac{2}{y} = \frac{0.25}{0.75}\)
multiply cross
\(0.25*y = 2*0.75\)
\(0.25y = 1.5\)
\(y = \frac{1.5}{0.25}\)
\(\boxed{y = 6\:pencils}\)
how many pencils are in his backpack?
Add the values of the pencils
\(\boxed{\boxed{2 + 6 = 8\:pencils}}\end{array}}\qquad\quad\checkmark\)
Answer:
Total numer of pencils
= number / its percent
= 2 / 25%
= 2 / (25/100)
= 8