Question

If mango + mango + strawberry = 230 and strawberry – mango = 5, then what is the value of strawberry?
A. 70
B. 75
C. 65
D. 80

Answer 1

Hint: To solve this question, first we can denote the mango as ’x’ and the strawberry as ‘y’. Then, we have to replace the mango with ‘x’ and strawberry with ‘y’ in the equation. After that we can solve the equation to find the values of ‘x’ and ’y’.

Complete step by step answer:
Let us denote the mango as ‘x’ and the strawberry as ‘y’. Then, we have to replace the mango with ‘x’ and strawberry with ‘y’ in the equation. So, the equation becomes,
x + x +y = 230
$\Rightarrow $2x + y = 230 ……….(1)
And we get,
y – x = 5
$\Rightarrow $-x + y = 5 ……………(2)
Now we have to solve the equations to get the value of ‘x’ and ‘y’.
To get the value of ‘x’ we can subtract the equation (1) with equation (2). So, we get,
3x = 225
$\begin{align}
  & \Rightarrow x=\dfrac{225}{3} \\
 & \Rightarrow x=75 \\
\end{align}$
Therefore, the value of ‘x’ is 75. That is, the value of the mango is 75.
Now, we can find the value of ‘y’ by substituting the value of ‘x’ in the equation (2). So, we get,
-x + y = 5
$\Rightarrow $(-75) + y = 5
$\Rightarrow $y = 5 + 75
$\Rightarrow $y = 80
Therefore, the value of ‘y’ is 80. That is, the value of the strawberry is 80.

So, the correct answer is “Option D”.

Note: Alternative method is that, we can find the value of ‘y’ without finding the ‘x’. For that, we have to multiply the equation (2) with 2 and then add both the equation (1) and equation (2). Then, on solving we will get the value of ‘y’. That is,
We can multiply equation (2) with 2. So we get,
-2x + 2y = 10
Then add the above equation with the equation (1). So, we get,
3y = 240
$\Rightarrow $y = 80.