Every week, Mrs Jack collected 40% more vitamin pills than Mrs Fabian 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 448 vitamin pills and Mrs Jack's family members consumed 320 more vitamin pills than Mrs Fabian's family.

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

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

Number of pills Mrs Fabian collected in total = 5 u
Number of pills Mrs Jack collected in total = 7 u

Total pills eaten per week by Mrs Fabian and Mrs Jack
= 14 + 14
= 28

Number of weeks
= 448 ÷ 28
= 16

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

2 u = 320

1 u = 320 ÷ 2 = 160

Number of pills that Mrs Jack collected in total
= 7 u
= 7 x 160
= 1120

Number of pills that Mrs Jack's family consumed per week
= 1120 ÷ 16
= 70

Number of members in Mrs Jack's family
= 70 ÷ 14
= 5

(b)
Number of pills that Mrs Fabian collected in total
= 5 u
= 5 x 160
= 800

Number of pills that Mrs Fabian collected each week
= 800 ÷ 16
= 50

Answer(s): (a) 5; (b) 50