Every week, Mrs Billy collected 60% more vitamin pills than Mrs Justin 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 448 vitamin pills and Mrs Billy's family members consumed 504 more vitamin pills than Mrs Justin'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 Justin collect from the pharmacy each week?

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

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

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

Number of weeks
= 448 ÷ 56
= 8

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

3 u = 504

1 u = 504 ÷ 3 = 168

Number of pills that Mrs Billy collected in total
= 8 u
= 8 x 168
= 1344

Number of pills that Mrs Billy's family consumed per week
= 1344 ÷ 8
= 168

Number of members in Mrs Billy's family
= 168 ÷ 28
= 6

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

Number of pills that Mrs Justin collected each week
= 840 ÷ 8
= 105

Answer(s): (a) 6; (b) 105