Every week, Mrs Xavier collected 60% more vitamin pills than Mrs Ian 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 Xavier's family members consumed 504 more vitamin pills than Mrs Ian's family.

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

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

Number of pills Mrs Ian collected in total = 5 u
Number of pills Mrs Xavier collected in total = 8 u

Total pills eaten per week by Mrs Ian and Mrs Xavier
= 28 + 28
= 56

Number of weeks
= 448 ÷ 56
= 8

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

3 u = 504

1 u = 504 ÷ 3 = 168

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

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

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

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

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

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