Every week, Mrs George collected 75% more vitamin pills than Mrs Charlie 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 504 vitamin pills and Mrs George's family members consumed 540 more vitamin pills than Mrs Charlie's family. How many members were there in Mrs George's family, if they each consumed 28 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. George collected in total = 7 u

Total pills eaten per week by Mrs. Charlie and Mrs. George
= 28 + 28
= 56

Number of weeks
= 504 ÷ 56
= 9

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

3 u = 540

1 u = 540 ÷ 3 = 180

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

Number of pills that Mrs. George's family consumed per week
= 1260 ÷ 9
= 140

Number of members in Mrs. George's family
= 140 ÷ 28
= 5

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

Number of pills that Mrs. Charlie collected each week
= 720 ÷ 9
= 80

Answer(s): (a) 5; (b) 80