Every week, Mrs Oliver collected 75% more vitamin pills than Mrs Reggie 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 364 vitamin pills and Mrs Oliver's family members consumed 312 more vitamin pills than Mrs Reggie's family. How many members were there in Mrs Oliver's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Reggie collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Reggie collected in total = 4 u
Number of pills Mrs. Oliver collected in total = 7 u

Total pills eaten per week by Mrs. Reggie and Mrs. Oliver
= 14 + 14
= 28

Number of weeks
= 364 ÷ 28
= 13

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

3 u = 312

1 u = 312 ÷ 3 = 104

Number of pills that Mrs. Oliver collected in total
= 7 u
= 7 x 104
= 728

Number of pills that Mrs. Oliver's family consumed per week
= 728 ÷ 13
= 56

Number of members in Mrs. Oliver's family
= 56 ÷ 14
= 4

(b)
Number of pills that Mrs. Reggie collected in total
= 4 u
= 4 x 104
= 416

Number of pills that Mrs. Reggie collected each week
= 416 ÷ 13
= 32

Answer(s): (a) 4; (b) 32