Every week, Mrs Glen collected 75% more vitamin pills than Mrs Albert 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 476 vitamin pills and Mrs Glen's family members consumed 306 more vitamin pills than Mrs Albert's family. How many members were there in Mrs Glen's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Albert collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Albert collected in total = 4 u
Number of pills Mrs. Glen collected in total = 7 u

Total pills eaten per week by Mrs. Albert and Mrs. Glen
= 14 + 14
= 28

Number of weeks
= 476 ÷ 28
= 17

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

3 u = 306

1 u = 306 ÷ 3 = 102

Number of pills that Mrs. Glen collected in total
= 7 u
= 7 x 102
= 714

Number of pills that Mrs. Glen's family consumed per week
= 714 ÷ 17
= 42

Number of members in Mrs. Glen's family
= 42 ÷ 14
= 3

(b)
Number of pills that Mrs. Albert collected in total
= 4 u
= 4 x 102
= 408

Number of pills that Mrs. Albert collected each week
= 408 ÷ 17
= 24

Answer(s): (a) 3; (b) 24