Problema Solution

bayside insurance offers two health plans. under plan a, giselle would have to pay the first $180 of her medical bills, plus 40% of the rest. under plan b, giselle would pay the first $230, but only 30% of the rest. for what amount of medical bills will plan b save giselle money? assume she has over $230 in bills. round to the nearst whole number.

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Ans: 530

Let x be the total amount then amount of medical bills will be same for both plans

i.e. 180 + 0.4(x-180)=230 + 0.3(x-230)

so 0.4x-72-0.3x+69=50

so 0.1x=53

or x=530