Every week, Mrs Elijah collected 60% more vitamin pills than Mrs Michael from the pharmacy. They each consumed 28 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 Elijah's family members consumed 756 more vitamin pills than Mrs Michael's family.

1. How many members were there in Mrs Elijah's family, if they each consumed 28 pills weekly?
2. How many vitamin pills did Mrs Michael collect from the pharmacy each week?

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

Number of pills Mrs Michael collected in total = 5 u
Number of pills Mrs Elijah collected in total = 8 u

Total pills eaten per week by Mrs Michael and Mrs Elijah
= 28 + 28
= 56

Number of weeks
= 504 ÷ 56
= 9

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

3 u = 756

1 u = 756 ÷ 3 = 252

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

Number of pills that Mrs Elijah's family consumed per week
= 2016 ÷ 9
= 224

Number of members in Mrs Elijah's family
= 224 ÷ 28
= 8

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

Number of pills that Mrs Michael collected each week
= 1260 ÷ 9
= 140

Answer(s): (a) 8; (b) 140