Every week, Mrs Neave collected 40% more vitamin pills than Mrs Caden 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 Neave's family members consumed 360 more vitamin pills than Mrs Caden's family.

1. How many members were there in Mrs Neave's family, if they each consumed 21 pills weekly?
2. How many vitamin pills did Mrs Caden collect from the pharmacy each week?

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

Number of pills Mrs Caden collected in total = 5 u
Number of pills Mrs Neave collected in total = 7 u

Total pills eaten per week by Mrs Caden and Mrs Neave
= 21 + 21
= 42

Number of weeks
= 504 ÷ 42
= 12

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

2 u = 360

1 u = 360 ÷ 2 = 180

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

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

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

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

Number of pills that Mrs Caden collected each week
= 900 ÷ 12
= 75

Answer(s): (a) 5; (b) 75