Asksia AI LOGO


Posted 2 months ago

Joseph gave 1/41 / 4 of his candies to Joy and Joy gave 1/51 / 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 xx be the number of candies Joseph originally had. Joseph gave 14\frac{1}{4} of his candies to Joy, so Joy received 14x\frac{1}{4}x candies
step 2
Joy then gave 15\frac{1}{5} of what she received to Tim. Therefore, Tim received 15(14x)=120x\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 120x=2\frac{1}{20} x = 2
step 4
To solve for xx, multiply both sides of the equation by 20: x=2×20=40x = 2 \times 20 = 40
Joseph originally had 40 candies.
Key Concept
Fractional distribution
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