Question

Math

Posted 2 months ago

```
Joseph gave $1 / 4$ of his candies to Joy and Joy gave $1 / 5$ of what she got to Tim. If Tim received 2 candies, how many candies did Joseph have originally?
A. 30
B. 20
C. 50
D. 40
```

Sign in to unlock the answer

Answer from Sia

Posted 2 months ago

Solution by Steps

step 1

Let $x$ be the number of candies Joseph originally had. Joseph gave $\frac{1}{4}$ of his candies to Joy, so Joy received $\frac{1}{4}x$ candies

step 2

Joy then gave $\frac{1}{5}$ of what she received to Tim. Therefore, Tim received $\frac{1}{5} \left( \frac{1}{4} x \right) = \frac{1}{20} x$ candies

step 3

We know that Tim received 2 candies. So, we set up the equation $\frac{1}{20} x = 2$

step 4

To solve for $x$, multiply both sides of the equation by 20: $x = 2 \times 20 = 40$

Answer

Joseph originally had 40 candies.

Key Concept

Fractional distribution

Explanation

The problem involves understanding how fractions of a quantity are distributed and then working backwards to find the original quantity.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question