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

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

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

Number of pills Mrs Lee collected in total = 5 u
Number of pills Mrs Xavier collected in total = 7 u

Total pills eaten per week by Mrs Lee and Mrs Xavier
= 21 + 21
= 42

Number of weeks
= 714 ÷ 42
= 17

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

2 u = 204

1 u = 204 ÷ 2 = 102

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

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

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

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

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

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