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Question 1011818: HI i'm a little stuck on this current problem of mine. Would love some help and insight. thank you in adavance :)
Suppose that a household spent $350 less in 2015 by purchasing its cars and home
insurances from Company A than it had done in 2014 by purchasing the cars
insurances from Company B and the home insurance from Company C. Given that
the household had spent a maximum of $2,000 on insurances in 2015, and
the household spent $50 less on cars insurances to Company B than on
home insurance to Company C in 2014,
write an inequality to represent the amount that the total household spent to
Companies B and C in 2014. Hence, using the inequalities found, determine the
maximum amount the household spent to each of these companies in 2014
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that a household spent $350 less in 2015 by purchasing its cars and home
insurances from Company A than it had done in 2014 by purchasing the cars
insurances from Company B and the home insurance from Company C. Given that
the household had spent a maximum of $2,000 on insurances in 2015, and
the household spent $50 less on cars insurances to Company B than on
home insurance to Company C in 2014,
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Write the above using symbols::
A = B+C-350
A <= 2000
B = C-50
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write an inequality to represent the amount that the total household spent to
Companies B and C in 2014.
B+C -350 <= 2000
B+C <= 2350
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Hence, using the inequalities found, determine the
maximum amount the household spent to each of these companies in 2014
Substitute for "B" to get:
C-50 + C <= 2350
2C <= 2400
C <= $1200
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Then B <= 2350-1200 = $1150
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Cheers,
Stan H.
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