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Three-sets-of-beans-l-m-and-n-are-sold-for5-for-5-00-15-00-and-17-50-respectively-per-kg-If-they-are-mixed-in-the-ratio-of-1-3-2-what-is-the-cost-per-kg-of-the-mixture-




Question Number 25533 by pieroo last updated on 11/Dec/17
Three sets of beans l, m, and n are sold for5  for $5.00, $15.00 and $17.50 respectively  per kg. If they are mixed in the ratio of  1:3:2, what is the cost per kg of the mixture?×
$${Three}\:{sets}\:{of}\:{beans}\:{l},\:{m},\:{and}\:{n}\:{are}\:{sold}\:{for}\mathrm{5} \\ $$$${for}\:\$\mathrm{5}.\mathrm{00},\:\$\mathrm{15}.\mathrm{00}\:{and}\:\$\mathrm{17}.\mathrm{50}\:{respectively} \\ $$$${per}\:{kg}.\:{If}\:{they}\:{are}\:{mixed}\:{in}\:{the}\:{ratio}\:{of} \\ $$$$\mathrm{1}:\mathrm{3}:\mathrm{2},\:{what}\:{is}\:{the}\:{cost}\:{per}\:{kg}\:{of}\:{the}\:{mixture}?× \\ $$
Answered by mrW1 last updated on 11/Dec/17
(1/6)×5+(3/6)×15+(2/6)×17.5=((85)/6)=14.17 $/kg
$$\frac{\mathrm{1}}{\mathrm{6}}×\mathrm{5}+\frac{\mathrm{3}}{\mathrm{6}}×\mathrm{15}+\frac{\mathrm{2}}{\mathrm{6}}×\mathrm{17}.\mathrm{5}=\frac{\mathrm{85}}{\mathrm{6}}=\mathrm{14}.\mathrm{17}\:\$/{kg} \\ $$
Commented by pieroo last updated on 11/Dec/17
thanks pal
$$\mathrm{thanks}\:\mathrm{pal} \\ $$

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