Every week, Mrs Rael collected 40% more vitamin pills than Mrs Caden 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 336 vitamin pills and Mrs Rael's family members consumed 336 more vitamin pills than Mrs Caden's family.

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

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

Number of pills Mrs Caden collected in total = 5 u
Number of pills Mrs Rael collected in total = 7 u

Total pills eaten per week by Mrs Caden and Mrs Rael
= 14 + 14
= 28

Number of weeks
= 336 ÷ 28
= 12

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

2 u = 336

1 u = 336 ÷ 2 = 168

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

Number of pills that Mrs Rael's family consumed per week
= 1176 ÷ 12
= 98

Number of members in Mrs Rael's family
= 98 ÷ 14
= 7

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

Number of pills that Mrs Caden collected each week
= 840 ÷ 12
= 70

Answer(s): (a) 7; (b) 70