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

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

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

Number of pills Mrs Michael collected in total = 5 u
Number of pills Mrs Jack collected in total = 7 u

Total pills eaten per week by Mrs Michael and Mrs Jack
= 14 + 14
= 28

Number of weeks
= 504 ÷ 28
= 18

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

2 u = 360

1 u = 360 ÷ 2 = 180

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

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

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

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

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

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