SOLUTION: Help with this word problem please! Bayside Insurance offers two health plan A, Giselle would have to pay the first $100 of her medical bills, plus 25% of the rest. Under plan B,

Question 202437: Help with this word problem please!
Bayside Insurance offers two health plan A, Giselle would have to pay the first $100 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pa the first $110, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $110 in bills.
Giselle would save with plan B if she had more than $? in bills.
(Round to the nearest whole number)
Thank you!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bayside Insurance offers two health plan A, Giselle would have to pay the first $100 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pa the first $110, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $110 in bills.
Giselle would save with plan B if she had more than $? in bills.
(Round to the nearest whole number)
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Let "x" be the amount of the bills.
Plan A: A(x) = 100 + 0.25x
Plan B: B(x) = 110 + 0.20x
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For what amount of medical bills will plan B save Giselle money?
110 + 0.20x < 100 + 0.25x
0.05x > 10
(5/100)x > 10
x > (100/5)*10
x > $200
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Cheers,
Stan H.
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