Every week, Mrs Archie collected 75% more vitamin pills than Mrs Charlie from the pharmacy. They each consumed 21 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 336 vitamin pills and Mrs Archie's family members consumed 432 more vitamin pills than Mrs Charlie's family. How many members were there in Mrs Archie's family, if they each consumed 21 pills weekly? How many vitamin pills did Mrs Charlie collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Charlie collected in total = 4 u
Number of pills Mrs. Archie collected in total = 7 u

Total pills eaten per week by Mrs. Charlie and Mrs. Archie
= 21 + 21
= 42

Number of weeks
= 336 ÷ 42
= 8

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

3 u = 432

1 u = 432 ÷ 3 = 144

Number of pills that Mrs. Archie collected in total
= 7 u
= 7 x 144
= 1008

Number of pills that Mrs. Archie's family consumed per week
= 1008 ÷ 8
= 126

Number of members in Mrs. Archie's family
= 126 ÷ 21
= 6

(b)
Number of pills that Mrs. Charlie collected in total
= 4 u
= 4 x 144
= 576

Number of pills that Mrs. Charlie collected each week
= 576 ÷ 8
= 72

Answer(s): (a) 6; (b) 72