9514 1404 393
Answer:
- vision: $13.50
- dental: $40.50
- health: $162.00
Step-by-step explanation:
Let d, v, h represent the costs of dental, vision, and health insurance, respectively. The cost relations are ...
d = 3v . . . . . . . . . . . . . . . dental is 3 times vision
h = 3(v +d) . . . . . . . . . . . health is 3 times vision and dental combined
d + v + h = 9360 . . . . . annual premium
Substituting for h, we have ...
d + v + (3(d +v)) = 9360
Substituting for d, we have ...
3v +v +3(3v +v) = 9360
16v = 9360
v = 585
d = 3v = 1755
h = 3(d+v) = 7020
These are the total annual premiums. Linda pays 1/26 of 60% of this every two weeks. That fraction is 0.60/26 = 3/130.
a) Linda's biweekly vision insurance deduction is (585)(3/130) = $13.50
b) Linda's biweekly dental insurance deduction is (1755)(3/130) = $40.50
c) Linda's biweekly health insurance deduction is (7020)(3/130) = $162.00
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Additional comment
We know dental is 3v and health is 3(3v+v) = 12v = 4d. That is, once we find Linda's share of the biweekly vision premium, we can find the others by multiplying it by a suitable factor.
