Every week, Mrs Billy collected 60% more vitamin pills than Mrs Seth 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 Billy's family members consumed 756 more vitamin pills than Mrs Seth's family.

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

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

Number of pills Mrs Seth collected in total = 5 u
Number of pills Mrs Billy collected in total = 8 u

Total pills eaten per week by Mrs Seth and Mrs Billy
= 28 + 28
= 56

Number of weeks
= 504 ÷ 56
= 9

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

3 u = 756

1 u = 756 ÷ 3 = 252

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

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

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

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

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

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