Every week, Mrs Neave collected 75% more vitamin pills than Mrs Brandon 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 1008 vitamin pills and Mrs Neave's family members consumed 432 more vitamin pills than Mrs Brandon's family. How many members were there in Mrs Neave's family, if they each consumed 28 pills weekly? How many vitamin pills did Mrs Brandon collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

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

Total pills eaten per week by Mrs. Brandon and Mrs. Neave
= 28 + 28
= 56

Number of weeks
= 1008 ÷ 56
= 18

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

3 u = 432

1 u = 432 ÷ 3 = 144

Number of pills that Mrs. Neave collected in total
= 7 u
= 7 x 144
= 1008

Number of pills that Mrs. Neave's family consumed per week
= 1008 ÷ 18
= 56

Number of members in Mrs. Neave's family
= 56 ÷ 28
= 2

(b)
Number of pills that Mrs. Brandon collected in total
= 4 u
= 4 x 144
= 576

Number of pills that Mrs. Brandon collected each week
= 576 ÷ 18
= 32

Answer(s): (a) 2; (b) 32