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In an examination, 70% of the candidates passed. If the number of candidates who passed was 350, how many failed?

Mathematics

ScanSolve AI Answer

Answer

230 L

240 s
400 s
580 s
2470 s

Step-by-step solution

5 steps

Problem (1)

  1. The container contains an initial volume of 70 L of solution with 250 units of solute.

    The target total volume is 300 L.

  2. Let xx be the volume of pure water to add (in L).

    The equation is:

    70+x=30070 + x = 300
  3. Solve for xx

    x=300−70x = 300 - 70 x=230x = 230

    The volume of pure water to add is 230 L. The solute amount remains 250 units.

    230 L

    Problem (2)

  4. The tap fills at a rate of 1 L in 10 s.

    The filling rate is:

    r=1 L10 s=0.1 L/sr = \frac{1 \text{ L}}{10 \text{ s}} = 0.1 \text{ L/s}
  5. Time formula

    t=Vrt = \frac{V}{r} or equivalently t=10Vt = 10V (in s, where VV in L).

    For 24 L:

    t=10×24=240 st = 10 \times 24 = 240 \text{ s}

    For 40 L:

    t=10×40=400 st = 10 \times 40 = 400 \text{ s}

    For 58 L:

    t=10×58=580 st = 10 \times 58 = 580 \text{ s}

    For 247 L:

    t=10×247=2470 st = 10 \times 247 = 2470 \text{ s}

    240 s
    400 s
    580 s
    2470 s

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