The Carver Foundation funds three non-profit organizations engaged in alternate-

Question

The Carver Foundation funds three non-profit organizations engaged in alternate-energy research activities. From past data, the proportion of funds spent by each organization in research on solar energy, energy from harnessing the wind, and energy from the motion of ocean tides is given in the accompanying table. Find the amount awarded to each organization if the total amount spent by all three organizations on solar, wind, and tidal research is as follows. $10.4 million, $9.9 million, and $5.7 million, respectively $10.8 million, $9.3 million, and $4.9 million, respectively

Explanation / Answer

(A)

let x, y and z be the million dollar amount awarded to three organizations Org1, Org2 and Org3 respectively.

As per given condition, we can form three simultaneous equations as follows

0.6x + 0.4y + 0.2z = 10.4

0.3x + 0.3y + 0.6z = 9.9

0.1x + 0.3y + 0.2z = 5.7

Solving these equations simultaneously,

x = 7; y=12 and z=7

Organization 1: $7 million

Organization 2: $12 million

Organization 3: $7 million

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