Homework Help: math

Posted by marie on Thursday, November 17, 2011 at 9:07pm.

Bayside insurance offers two health plans. Under Plan A Giselle would pay the first $80 of her medical bills, plus 30% of the rest. Under Plan B Giselle would pay the first $140 but only 25% of the rest. For what amount of medical bills with plan B save Giselle money. Assume she has over $140 in bills. Giselle would save with plan B if she had more then $______in bills?

math - Lee, Friday, November 18, 2011 at 3:11am
Bayside insurance offers two health plans. Under Plan A Giselle would pay the first $80 of her medical bills, plus 30% of the rest. Under Plan B Giselle would pay the first $140 but only 25% of the rest. For what amount of medical bills would plan B save Giselle money. Assume she has over $140 in bills. Giselle would save with plan B if she had more than $ 980 in bills?

Plan A $80 +30%
Plan B $140 +25%

80+.30(x-80)>140+.25(x-140)
80+.30x - 80*.30>140+.25x – 140*.25
80+.30x – 24>140 +.25x – 35
56+.30x>105+.25x
56 + .05x >105
.05x>49
x>$980

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