Every week, Mrs Perry collected 40% more vitamin pills than Mrs Tim 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 Perry's family members consumed 204 more vitamin pills than Mrs Tim's family.

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

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

Number of pills Mrs Tim collected in total = 5 u
Number of pills Mrs Perry collected in total = 7 u

Total pills eaten per week by Mrs Tim and Mrs Perry
= 14 + 14
= 28

Number of weeks
= 476 ÷ 28
= 17

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

2 u = 204

1 u = 204 ÷ 2 = 102

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

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

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

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

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

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