A doctor recommends that a patient take 95 mg each of niacin, riboflavin, and th
ID: 2829001 • Letter: A
Question
A doctor recommends that a patient take 95 mg each of niacin, riboflavin, and thiamin daily to alleviate a vitamin deficiency. In his medicine chest at home, the patient finds three brands of vitamin pills. The amounts of the relevant vitamins per pill are given in the table. How many pills of each type should he take every day to get 95 mg of each vitamin?
VitaMax
Vitron
VitaPlus
Niacin (mg)
15
10
20
Riboflavin (mg)
10
42.5
0
Thiamin (mg)
5
22.5
15
VitaMax
Vitron
VitaPlus
Niacin (mg)
15
10
20
Riboflavin (mg)
10
42.5
0
Thiamin (mg)
5
22.5
15
3 VitaMax, 2 Vitron, 0 VitaPlus 2 VitaMax, 3 Vitron, 1 VitaPlus 3 VitaMax, 1 Vitron, 2 VitaPlus 1 VitaMax, 2 Vitron, 3 VitaPlus 3 VitaMax, 0 Vitron, 3 VitaPlusExplanation / Answer
Correct answer is option d i.e. 1 VitaMax, 2 Vitron, 3 VitaPlus
since we need exactly 95mg of each of niacin, riboflavin, and thiamin daily we see that for above dosage of medicines using data in table:
mg of niacin=15*1+10*2+20*3=95mg
mg of riboflavin=10*1+42.5*2+0*3=95mg
mg of thiamin=5*1+22.5*2+15*3=95mg
for all other combinations, we do not get exactly 95mg of all three vitamins so only option d is correct
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