Every week, Mrs Bryan collected 60% more vitamin pills than Mrs Jack 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 504 vitamin pills and Mrs Bryan's family members consumed 756 more vitamin pills than Mrs Jack's family.

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

(a)
60% + 100% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

Number of pills Mrs Jack collected in total = 5 u
Number of pills Mrs Bryan collected in total = 8 u

Total pills eaten per week by Mrs Jack and Mrs Bryan
= 21 + 21
= 42

Number of weeks
= 504 ÷ 42
= 12

Difference in the number of pills Mrs Bryan's family consumed more than Mrs Jack's family
= 8 u - 5 u
= 3 u

3 u = 756

1 u = 756 ÷ 3 = 252

Number of pills that Mrs Bryan collected in total
= 8 u
= 8 x 252
= 2016

Number of pills that Mrs Bryan's family consumed per week
= 2016 ÷ 12
= 168

Number of members in Mrs Bryan's family
= 168 ÷ 21
= 8

(b)
Number of pills that Mrs Jack collected in total
= 5 u
= 5 x 252
= 1260

Number of pills that Mrs Jack collected each week
= 1260 ÷ 12
= 105

Answer(s): (a) 8; (b) 105