Question

Jacob and Amber each buy a bag of apples. Some of the apples are rotten and some are not. Amber has the same fraction of rotlen apples in her bag as Jacob has in his bag. Jacob's bag has Amber's bag has: A total of apples • A total of 12 apples - Exactly I rotten apple Exactly rotten apple(s)How many rotten apples are in Amber's bag?

Answer 1

ANSWER

3 rotten apples

EXPLANATION

We know that Amber and Jacob have the same fraction of rotten apples in their bags.

Jacob's bag has 4 apples in total, of which 1 is rotten. Thus, the fraction of rotten apples he has is,

$\frac{rotten.apples}{apples}=\frac{1}{4}$

Amber has the same fraction in her bag, but she has a total of 4 apples. If n is the number of rotten apples in Amber's bag,

$\frac{1}{4}=\frac{n}{12}$

We have to find n so that n/12 equals 1/4.

Multiply both sides by 12,

$\begin{gathered} \frac{1}{4}\cdot12=\frac{n}{12}\cdot12 \\ 3=n \end{gathered}$

So, Amber's bag has exactly 3 rotten apples