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Connie has a number of gold bars, all of different weights. She gives the 24 lightest bars, which weigh 45% of the total weight, to Brennan. She gives the 13 heaviest bars, which weigh 26% of the total weight, to Maya. She gives the rest of the bars to Blair. How many bars did Blair receive?

Correct Answer: 15
The average weight of the bars given to Brennan (light) Let the total weight of all the bars be X.The weight of the bars given to Brennan, = 45% of X = 0.45XThe weight of the bars given to Maya, = 26% of X = 0.26XThe weight of the bars given to Claire = rest = 29% of X = 0.29XThe average weight of the bars given to Brennan,$$ = \frac{{{\text{Weight}}}}{{{\text{Number}}\,{\text{of}}\,{\text{bars}}}} = \frac{{0.45{\text{X}}}}{{24}}$$The average weight of the bars given to Maya = Weight / number of bars = $$\frac{{0.26{\text{X}}}}{{13}}$$Similarly, if the number of bars given to Blair = B, then the average weight of the bars given to Blair = $$\frac{{0.29{\text{X}}}}{{\text{B}}}$$As, the average weight of the bars given to Brennan (light) So , Option (B) is the right answer

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Conclusions :
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II. Bidders should quote higher gold prices to retain present value of gold in the international markets.

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