Every week, Mrs Archie collected 40% more vitamin pills than Mrs Cody 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 504 vitamin pills and Mrs Archie's family members consumed 360 more vitamin pills than Mrs Cody's family.

1. How many members were there in Mrs Archie's family, if they each consumed 14 pills weekly?
2. How many vitamin pills did Mrs Cody collect from the pharmacy each week?

(a)
40% + 100% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

Number of pills Mrs Cody collected in total = 5 u
Number of pills Mrs Archie collected in total = 7 u

Total pills eaten per week by Mrs Cody and Mrs Archie
= 14 + 14
= 28

Number of weeks
= 504 ÷ 28
= 18

Difference in the number of pills Mrs Archie's family consumed more than Mrs Cody's family
= 7 u - 5 u
= 2 u

2 u = 360

1 u = 360 ÷ 2 = 180

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

Number of pills that Mrs Archie's family consumed per week
= 1260 ÷ 18
= 70

Number of members in Mrs Archie's family
= 70 ÷ 14
= 5

(b)
Number of pills that Mrs Cody collected in total
= 5 u
= 5 x 180
= 900

Number of pills that Mrs Cody collected each week
= 900 ÷ 18
= 50

Answer(s): (a) 5; (b) 50