Question 667508: Please help me find the equations needed to solve this word problem:
A consumer set out to compare prices on premiums of comparable insurance policies offered by three companies: Country Farm, Metma, and Wisely. She found that Country Farm was $35 higher than Metma but $25 lower than Wisely. Wisely was $155 less than the sum of the premiums of the other two. Find the premium charged by each company.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A consumer set out to compare prices on premiums of comparable insurance policies offered by three companies: Country Farm, Metma, and Wisely.
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She found that Country Farm was $35 higher than Metma but $25 lower than Wisely.
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Wisely was $155 less than the sum of the premiums of the other two.
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Find the premium charged by each company.
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Equations:
CF = M + 35
CF = W - 25
W = CF + M - 155
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Rearrange:
CF - M + 0 = 35
CF + 0 - W = -25
CF + M - W = 155
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I used the Matrix function on my TI-84 to get:
Country Farms = 215
Metma = 180
Wisely = 240
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Cheers,
Stan H.
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