Every week, Mrs Zane collected 75% more vitamin pills than Mrs Pierre 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 504 vitamin pills and Mrs Zane's family members consumed 540 more vitamin pills than Mrs Pierre's family. How many members were there in Mrs Zane's family, if they each consumed 21 pills weekly? How many vitamin pills did Mrs Pierre collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Pierre collected in total = 4 u
Number of pills Mrs. Zane collected in total = 7 u

Total pills eaten per week by Mrs. Pierre and Mrs. Zane
= 21 + 21
= 42

Number of weeks
= 504 ÷ 42
= 12

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

3 u = 540

1 u = 540 ÷ 3 = 180

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

Number of pills that Mrs. Zane's family consumed per week
= 1260 ÷ 12
= 105

Number of members in Mrs. Zane's family
= 105 ÷ 21
= 5

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

Number of pills that Mrs. Pierre collected each week
= 720 ÷ 12
= 60

Answer(s): (a) 5; (b) 60