Every week, Mrs Rael collected 40% more vitamin pills than Mrs Ivan 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 476 vitamin pills and Mrs Rael's family members consumed 204 more vitamin pills than Mrs Ivan's family.

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

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

Number of pills Mrs Ivan collected in total = 5 u
Number of pills Mrs Rael collected in total = 7 u

Total pills eaten per week by Mrs Ivan and Mrs Rael
= 14 + 14
= 28

Number of weeks
= 476 ÷ 28
= 17

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

2 u = 204

1 u = 204 ÷ 2 = 102

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

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

Number of members in Mrs Rael's family
= 42 ÷ 14
= 3

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

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

Answer(s): (a) 3; (b) 30