Respuesta :
Amy needs to make 10 L of 42% sulphuric acid solution. In the supply room, she finds bottles of 30% sulphuric acid solution and 60% sulphuric acid solution. Amy needs 6L of 30% of sulphuric acid solution and 4L of 60% of sulphuric acid solution.
Let x be the 30% sulphuric acid solution and y be the 60% sulphuric acid solution.
The total amount of mixture she needs to make must be 10L.
Therefore the algebraic equation is, x + y = 10 ..... (1)
In percentage terms, the algebraic equation will be:
0.30x + 0.60y = 0.42(10)
0.30x + 0.60y = 4.2 .....(2)
From (1), we obtain,
y = 10 - x .......(3)
Substitute eq. (3) to eq. (2), we get,
0.30x + 0.60(10-x) = 4.2
0.30x + 6 - 0.60x = 4.2
- 0.30x + 6 = 4.2
- 0.30x = - 1.8
x = 6
Using equation (3):
y = 10 - 6
y = 4
Therefore, Amy needs 6L of 30% of sulphuric acid solution and 4L of 60% of sulphuric acid solution.
What is an algebraic equation?
- An algebraic expression or algebraic equation is a mathematical equation that shows two mathematical expressions as equal.
- For example- 2x + 6 = 12 is an equation in which two expressions are separated by an equal sign.
To learn more about the algebraic equations, visit: brainly.com/question/11701178
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