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

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

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

Number of pills Mrs Vaidev collected in total = 5 u
Number of pills Mrs Luke collected in total = 8 u

Total pills eaten per week by Mrs Vaidev and Mrs Luke
= 14 + 14
= 28

Number of weeks
= 504 ÷ 28
= 18

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

3 u = 756

1 u = 756 ÷ 3 = 252

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

Number of pills that Mrs Luke's family consumed per week
= 2016 ÷ 18
= 112

Number of members in Mrs Luke's family
= 112 ÷ 14
= 8

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

Number of pills that Mrs Vaidev collected each week
= 1260 ÷ 18
= 70

Answer(s): (a) 8; (b) 70