Every week, Mrs Brandon collected 75% more vitamin pills than Mrs Jack 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 252 vitamin pills and Mrs Brandon's family members consumed 486 more vitamin pills than Mrs Jack's family. How many members were there in Mrs Brandon's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Jack collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Jack collected in total = 4 u
Number of pills Mrs. Brandon collected in total = 7 u

Total pills eaten per week by Mrs. Jack and Mrs. Brandon
= 14 + 14
= 28

Number of weeks
= 252 ÷ 28
= 9

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

3 u = 486

1 u = 486 ÷ 3 = 162

Number of pills that Mrs. Brandon collected in total
= 7 u
= 7 x 162
= 1134

Number of pills that Mrs. Brandon's family consumed per week
= 1134 ÷ 9
= 126

Number of members in Mrs. Brandon's family
= 126 ÷ 14
= 9

(b)
Number of pills that Mrs. Jack collected in total
= 4 u
= 4 x 162
= 648

Number of pills that Mrs. Jack collected each week
= 648 ÷ 9
= 72

Answer(s): (a) 9; (b) 72