SOLUTION: Bayside Insurance offers two healths plan A, Giselle would have to pay the first $70 of her medical bills, plus 35% of the rest. Under plan B, Giselle would pa the first $240, but

Question 202719: Bayside Insurance offers two healths plan A, Giselle would have to pay the first $70 of her medical bills, plus 35% of the rest. Under plan B, Giselle would pa the first $240, but only 30% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $240 in bills.
Giselle would save with plan B if she had more than $? in bills.
(Round to the nearest whole number)
Suppose Giselle has $5000 medical bills.
Plan A would cost $ 70 + 0.35% ($5000-$70)=($4930.00)
Plan B would cost $ 240 + 0.30 ($5000-$240)=($1668.00)
240+0.30(x-240)<70+0.35(x-70)
240+0.30x-72.00<70+0.35x-24.50
168.00+0.30x<45.50+0.35x
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168.00+0.30x-0.30x<45.50+0.35x-0.30x
168.00<45.70+0.05x
122.30<0.05x
2446< x
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Can anyone tell me if I got this one right?
Thank you so much!!!!

Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
Plan A) $70 + 35%
(5000-70)*.35)+70=$1795.50
Plan B) $240 + 30%
(5000-240)*.30+240=$1668.00
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Procedure looks good on the last pat, but you made a subtraction error.
should be .05x is greater than 122.50
x is greater than 2450
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
For the first part, you're on the right track. However, in the third to last step, you made a very silly typo which gave you the wrong answer. The term "45.70" should be "45.50" which would give you the answer of . So if her bills are more than $2,450, then she'll save with plan B

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For the second part, simply plug in 5000 in for x into both expressions to get:

Plan A:

Plan B:

So with a bill of $5,000, she pays $1,795.50 under plan A or $1,668 under plan B (this supports the answer to the first part)

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