Every week, Mrs Jeremy collected 40% more vitamin pills than Mrs Ken 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 714 vitamin pills and Mrs Jeremy's family members consumed 204 more vitamin pills than Mrs Ken's family.

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

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

Number of pills Mrs Ken collected in total = 5 u
Number of pills Mrs Jeremy collected in total = 7 u

Total pills eaten per week by Mrs Ken and Mrs Jeremy
= 21 + 21
= 42

Number of weeks
= 714 ÷ 42
= 17

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

2 u = 204

1 u = 204 ÷ 2 = 102

Number of pills that Mrs Jeremy collected in total
= 7 u
= 7 x 102
= 714

Number of pills that Mrs Jeremy's family consumed per week
= 714 ÷ 17
= 42

Number of members in Mrs Jeremy's family
= 42 ÷ 21
= 2

(b)
Number of pills that Mrs Ken collected in total
= 5 u
= 5 x 102
= 510

Number of pills that Mrs Ken collected each week
= 510 ÷ 17
= 30

Answer(s): (a) 2; (b) 30