Question

Saransh wanted to determine the number of acidic solutions in Batch $x$ and Batch $y$. In this regard, he has successfully measured a total of 100 solutions from both batches. He found out that 40% of the solutions in Batch $x$ and 70% of the solutions in Batch $y$ were acidic and these accounted for a total of 48 acidic solutions. Write these statements in the form of mathematical equations.

• A. $x+y=100$
  $0.4x+0.7y=48$
• B. $x+y=48$
  $0.4x+0.7y=100$
• C. $x+y=100\times 2$
  $0.4x+0.7y=48$
• D. $x+y=100$
  $40x+70y=48$

Answer 1

The correct option is A $x+y=100$

$0.4x+0.7y=48$
Saransh wanted to determine the number of acidic solutions in Batch $x$ and Batch $y$

He found out that $70\%$ of the solution $y$

Then $40\%$ of the solutions in Batch $x=$ $\frac{40}{100}\times x=0.4x$

And $70\%$ of the solutions in Batch $y=$ $\frac{70}{100}\times y=0.7y$

And total of $48$ acidic solution

$\therefore x+y=100$

$\therefore 0.4x+0.7y=48$