Every week, Mrs Valen collected 40% more vitamin pills than Mrs Ryan 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 392 vitamin pills and Mrs Valen's family members consumed 336 more vitamin pills than Mrs Ryan's family.

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

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

Number of pills Mrs Ryan collected in total = 5 u
Number of pills Mrs Valen collected in total = 7 u

Total pills eaten per week by Mrs Ryan and Mrs Valen
= 14 + 14
= 28

Number of weeks
= 392 ÷ 28
= 14

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

2 u = 336

1 u = 336 ÷ 2 = 168

Number of pills that Mrs Valen collected in total
= 7 u
= 7 x 168
= 1176

Number of pills that Mrs Valen's family consumed per week
= 1176 ÷ 14
= 84

Number of members in Mrs Valen's family
= 84 ÷ 14
= 6

(b)
Number of pills that Mrs Ryan collected in total
= 5 u
= 5 x 168
= 840

Number of pills that Mrs Ryan collected each week
= 840 ÷ 14
= 60

Answer(s): (a) 6; (b) 60