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

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

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

Number of pills Mrs Julian collected in total = 5 u
Number of pills Mrs Pierre collected in total = 7 u

Total pills eaten per week by Mrs Julian and Mrs Pierre
= 14 + 14
= 28

Number of weeks
= 504 ÷ 28
= 18

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

2 u = 360

1 u = 360 ÷ 2 = 180

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

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

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

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

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

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