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CBSE Class 9 Answered

  Laxmi purchases some bananas and some oranges .Each banana costs Rs.2 while each orange costs Rs.3. If the total amount paid by Laxmi was Rs.30 and the number of oranges purchased by her was 6, then how many bananas did she purchase?
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

 Let us assume that Laxmi purchased x bananas and y oranges.

 
Since each banana costs Rs.2, x bananas cost Rs.2 × x = Rs.2x
 
Similarly, each orange costs Rs.3.
Thus, y oranges cost Rs.3 × y = Rs.3y
 
Thus, the total amount paid by Laxmi is Rs. (2x + 3y), which equals Rs.30
Thus, we can express the given information in the form of a linear equation as
2x + 3y =3 0
Now, we know that Laxmi purchased 6 oranges, i.e., the value of y is 6.
Substitute  this value of y in the equation 2x + 3y = 30, thereby reducing it to a linear equation in one variable.
We can then solve the equation to obtain the value of x.
 
 
Thus, we see that the value of x is 6, i.e., Laxmi purchased 6 bananas.
Answered by | 04 Jun, 2014, 03:23: PM
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