
Alice and Julie start with the same number of pens. After Alive gives 16 of her pens to Julie, Julie then has two times as many pens as Alice does. How many pens did Alice have at the start?
Answer
486.3k+ views
Hint: To solve this question we use the basic one variable equation, so that we easily solve and get the answer. First, we will assume that Alice and Julie start with x number of pens and as given in question Alive gives 16 of her pens to Julie. Therefore, Alice has (x−16) pens and Julie has (x+16) pens. And finally make one variable equation by using the condition that Julie has two times as many pens as Alice does after giving 16 of her pens to Julie.
Complete step-by-step answer:
First, we will assume that Alice and Julie start with x number of pens and as given in question Alive gives 16 of her pens to Julie. Therefore, Alice has (x−16) pens and Julie has (x+16) pens. And finally make one variable equation by using the condition that Julie has two times as many pens as Alice does after giving 16 of her pens to Julie.
Let Alice and Julie start with x number of pens.
When Alice gives 16 pens to Julie
Then Alice has (x−16) pens
and Julie has (x+16).
Now, according to the question-
$ \Rightarrow $ x+16= $ 2\left( {x - 16} \right) $
$ \Rightarrow $ x+16=2x−32
$ \Rightarrow $ 2x−x=32+16
$ \Rightarrow $ x=48
Hence, Alice and Julie both had 48 pens at the start.
Note: Equation is a convenient way to represent conditions or relations between two or more quantities. For example, if Alice having ‘x’ pen, then after giving ‘n’ pen to the Julie, then Alice having number of pens = $ \left( {x - n} \right) $ . similarly, after taking n pens from Alice, Julie having $ \left( {x + n} \right) $ pens.
Complete step-by-step answer:
First, we will assume that Alice and Julie start with x number of pens and as given in question Alive gives 16 of her pens to Julie. Therefore, Alice has (x−16) pens and Julie has (x+16) pens. And finally make one variable equation by using the condition that Julie has two times as many pens as Alice does after giving 16 of her pens to Julie.
Let Alice and Julie start with x number of pens.
When Alice gives 16 pens to Julie
Then Alice has (x−16) pens
and Julie has (x+16).
Now, according to the question-
$ \Rightarrow $ x+16= $ 2\left( {x - 16} \right) $
$ \Rightarrow $ x+16=2x−32
$ \Rightarrow $ 2x−x=32+16
$ \Rightarrow $ x=48
Hence, Alice and Julie both had 48 pens at the start.
Note: Equation is a convenient way to represent conditions or relations between two or more quantities. For example, if Alice having ‘x’ pen, then after giving ‘n’ pen to the Julie, then Alice having number of pens = $ \left( {x - n} \right) $ . similarly, after taking n pens from Alice, Julie having $ \left( {x + n} \right) $ pens.
Recently Updated Pages
Questions & Answers - Ask your doubts

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Science: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Biology: Engaging Questions & Answers for Success

Trending doubts
Write a book review which you have recently read in class 8 english CBSE

When people say No pun intended what does that mea class 8 english CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

How many ounces are in 500 mL class 8 maths CBSE

You want to apply for admission into a prestigious class 8 english CBSE

Give a character sketch of Griffin the scientist in class 8 english CBSE
