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What quantity of 75 per cent acid solution must be mixed with a 30 per cent solution to produce 945 mL of a 50 per cent solution?
Wiki User
∙ 11y ago
A
nswer:525mL of 75% solution and 420mL of 30% solution must be mixed to produce 945mL of a 50% acid solution
Let x = 75% acid solution
y = 30% acid solutionEquations:
x + y = 945mL ----equation (1)
0.75x + 0.3y = 0.5 * 945
0.75x + 0.3y = 472.5
multiplying by 100
75x + 30y = 4725 ----equation (2)
eliminating equations (1) and (2)
-30(x + y = 945)-30
-30x -30y = -28350
75x +30y = 4725
============
45x = 23625
x=525
substitute x=525 to equation (1)
525 + y = 945
y = 945 - 525
y = 420
thus 525mL of 75% solution and 420mL of 30% solution must be mixed to produce 945mL of a 50% acid solution
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∙ 11y ago
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