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

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

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

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

Total pills eaten per week by Mrs Jenson and Mrs Neave
= 14 + 14
= 28

Number of weeks
= 252 ÷ 28
= 9

Difference in the number of pills Mrs Neave's family consumed more than Mrs Jenson'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 ÷ 9
= 140

Number of members in Mrs Neave's family
= 140 ÷ 14
= 10

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

Number of pills that Mrs Jenson collected each week
= 900 ÷ 9
= 100

Answer(s): (a) 10; (b) 100