Every week, Mrs Xavier collected 60% more vitamin pills than Mrs George 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 252 vitamin pills and Mrs Xavier's family members consumed 378 more vitamin pills than Mrs George's family.

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

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

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

Total pills eaten per week by Mrs George and Mrs Xavier
= 14 + 14
= 28

Number of weeks
= 252 ÷ 28
= 9

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

3 u = 378

1 u = 378 ÷ 3 = 126

Number of pills that Mrs Xavier collected in total
= 8 u
= 8 x 126
= 1008

Number of pills that Mrs Xavier's family consumed per week
= 1008 ÷ 9
= 112

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

(b)
Number of pills that Mrs George collected in total
= 5 u
= 5 x 126
= 630

Number of pills that Mrs George collected each week
= 630 ÷ 9
= 70

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