Every week, Mrs Fabian collected 75% more vitamin pills than Mrs Cody from the pharmacy. They each consumed 14 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 280 vitamin pills and Mrs Fabian's family members consumed 420 more vitamin pills than Mrs Cody's family. How many members were there in Mrs Fabian's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Cody collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Cody collected in total = 4 u
Number of pills Mrs. Fabian collected in total = 7 u

Total pills eaten per week by Mrs. Cody and Mrs. Fabian
= 14 + 14
= 28

Number of weeks
= 280 ÷ 28
= 10

Difference in the number of pills Mrs. Fabian's family consumed more than Mrs. Cody's family
= 7 u - 4 u
= 3 u

3 u = 420

1 u = 420 ÷ 3 = 140

Number of pills that Mrs. Fabian collected in total
= 7 u
= 7 x 140
= 980

Number of pills that Mrs. Fabian's family consumed per week
= 980 ÷ 10
= 98

Number of members in Mrs. Fabian's family
= 98 ÷ 14
= 7

(b)
Number of pills that Mrs. Cody collected in total
= 4 u
= 4 x 140
= 560

Number of pills that Mrs. Cody collected each week
= 560 ÷ 10
= 56

Answer(s): (a) 7; (b) 56