Every week, Mrs Paul collected 60% more vitamin pills than Mrs Luke 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 224 vitamin pills and Mrs Paul's family members consumed 840 more vitamin pills than Mrs Luke's family.

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

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

Number of pills Mrs Luke collected in total = 5 u
Number of pills Mrs Paul collected in total = 8 u

Total pills eaten per week by Mrs Luke and Mrs Paul
= 14 + 14
= 28

Number of weeks
= 224 ÷ 28
= 8

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

3 u = 840

1 u = 840 ÷ 3 = 280

Number of pills that Mrs Paul collected in total
= 8 u
= 8 x 280
= 2240

Number of pills that Mrs Paul's family consumed per week
= 2240 ÷ 8
= 280

Number of members in Mrs Paul's family
= 280 ÷ 14
= 20

(b)
Number of pills that Mrs Luke collected in total
= 5 u
= 5 x 280
= 1400

Number of pills that Mrs Luke collected each week
= 1400 ÷ 8
= 175

Answer(s): (a) 20; (b) 175