Multiple choice

A team of 6 men, 8 women and 6 children complete a job for a sum of $950. If their individual wages are in the ratio 4 : 3 : 2, calculate the total money earned by the children.

  1. $190
  2. $380
  3. $195
  4. $390
  5. $215
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A Correct answer
Explanation

Total ratio parts = 6*4 + 8*3 + 6*2 = 24 + 24 + 12 = 60. Value per part = 950 / 60 = 95/6. Children's share = 12 parts * (95/6) = 2 * 95 = 190.

AI explanation

The ratio of total wages for men, women and children is calculated by multiplying the number of workers by their individual wage ratios, yielding 24:24:12, which simplifies to 2:2:1. The total ratio parts sum to 5, meaning the children's share is 1/5 of the total \$950. Dividing 950 by 5 gives the total money earned by the children as \$190.