Renee had a box of cupcakes, of which she gave 1/2 to her friend Juan. Juan gave 3/4 of his share to his friend Elena. What fractional part of the original box of cupcakes did Elena get?
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Answers
Answer:
Elena got 3/8 of the original box of cupcakes.
Step-by-step explanation:
Fractional part of cupcakes given to Juan by Renee = 1/2
Fractional part of cupcakes given to Elena by Juan = 3/4
Then,
Fractional part got by Elena = 1/2 × 3/4 = 3/8
Hence, Elena got fractional part of cupcakes = 3/8
Given,
Renee had a box of cupcakes, of which she gave 1/2 to her friend Juan.
Juan gave 3/4 of his share to his friend Elena.
To find,
The fractional part of the original box of cupcakes that Elena got.
Solution,
We can simply solve this mathematical problem using the following process:
Let us assume that Renee initially had x cupcakes in the box.
According to the question,
Renee gave 1/2 part of the total quantity of the cupcakes to her friend Juan.
=> the fractional part of the original box of cupcakes that Juan got = 1/2 × (the initial portion of cupcakes with Renee)
= 1/2 × x
=> the fractional part of the original box of cupcakes that Juan got = (x/2)
Similarly,
Juan gave 3/4 of his share to his friend Elena.
=> the fractional part of the cupcakes that Elena got = 3/4 × (the fractional part of the original box of cupcakes that Juan got)
=> the fractional part of the cupcakes that Elena got = 3/4 × x/2 = 3x/8
=> the fractional part of the cupcakes that Elena got = 3/8 portion of x = 3/8 portion of the initial portion of cupcakes with Renee
Hence, Elena got a 3/8 portion of the initial portion of cupcakes with Renee.