Problema Solution
Bayside Insurance offers two health plans: under plan A, Giselle would have to pay the first $120 of her medical bills, plus 30% of the rest. Under plan B, Giselle would pay the first $180, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $180 in bills.
Giselle would save with plan B is she had more than $ _____ in bills.
Answer provided by our tutors
If the amount of her bill is X
then then plan A costs her 120 + (X-120)*.3
and plant B costs 180 + (X-180)*.25
The "break even" point is when
120 + (X-120)*.3 = 180 + (X-180)*.25
after that plan B is better. So solve for X
start by mutiplying everything out
120 + .3X - 36 = 180 + .25X - 45
do a little math on both sids
84 + .3X = 135 + .25X
group like terms on each side
.3X - .25X = 135 - 84
and simplify
.05X = 51
finally divide by .05
X = 51/.05 =1020