Every week, Mrs David collected 60% more vitamin pills than Mrs Fred 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 David's family members consumed 378 more vitamin pills than Mrs Fred's family.

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

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

Number of pills Mrs Fred collected in total = 5 u
Number of pills Mrs David collected in total = 8 u

Total pills eaten per week by Mrs Fred and Mrs David
= 14 + 14
= 28

Number of weeks
= 252 ÷ 28
= 9

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

3 u = 378

1 u = 378 ÷ 3 = 126

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

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

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

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

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

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