Every week, Mrs Japheth collected 40% more vitamin pills than Mrs Asher 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 420 vitamin pills and Mrs Japheth's family members consumed 300 more vitamin pills than Mrs Asher's family.

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

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

Number of pills Mrs Asher collected in total = 5 u
Number of pills Mrs Japheth collected in total = 7 u

Total pills eaten per week by Mrs Asher and Mrs Japheth
= 21 + 21
= 42

Number of weeks
= 420 ÷ 42
= 10

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

2 u = 300

1 u = 300 ÷ 2 = 150

Number of pills that Mrs Japheth collected in total
= 7 u
= 7 x 150
= 1050

Number of pills that Mrs Japheth's family consumed per week
= 1050 ÷ 10
= 105

Number of members in Mrs Japheth's family
= 105 ÷ 21
= 5

(b)
Number of pills that Mrs Asher collected in total
= 5 u
= 5 x 150
= 750

Number of pills that Mrs Asher collected each week
= 750 ÷ 10
= 75

Answer(s): (a) 5; (b) 75