Every week, Mrs Ken collected 75% more vitamin pills than Mrs Michael from the pharmacy. They each consumed 28 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 840 vitamin pills and Mrs Ken's family members consumed 540 more vitamin pills than Mrs Michael's family. How many members were there in Mrs Ken's family, if they each consumed 28 pills weekly? How many vitamin pills did Mrs Michael collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Michael collected in total = 4 u
Number of pills Mrs. Ken collected in total = 7 u

Total pills eaten per week by Mrs. Michael and Mrs. Ken
= 28 + 28
= 56

Number of weeks
= 840 ÷ 56
= 15

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

3 u = 540

1 u = 540 ÷ 3 = 180

Number of pills that Mrs. Ken collected in total
= 7 u
= 7 x 180
= 1260

Number of pills that Mrs. Ken's family consumed per week
= 1260 ÷ 15
= 84

Number of members in Mrs. Ken's family
= 84 ÷ 28
= 3

(b)
Number of pills that Mrs. Michael collected in total
= 4 u
= 4 x 180
= 720

Number of pills that Mrs. Michael collected each week
= 720 ÷ 15
= 48

Answer(s): (a) 3; (b) 48