Every week, Mrs Seth collected 40% more vitamin pills than Mrs David 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 560 vitamin pills and Mrs Seth's family members consumed 240 more vitamin pills than Mrs David's family.

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

(a)
40% + 100% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

Number of pills Mrs David collected in total = 5 u
Number of pills Mrs Seth collected in total = 7 u

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

Number of weeks
= 560 ÷ 28
= 20

Difference in the number of pills Mrs Seth's family consumed more than Mrs David's family
= 7 u - 5 u
= 2 u

2 u = 240

1 u = 240 ÷ 2 = 120

Number of pills that Mrs Seth collected in total
= 7 u
= 7 x 120
= 840

Number of pills that Mrs Seth's family consumed per week
= 840 ÷ 20
= 42

Number of members in Mrs Seth's family
= 42 ÷ 14
= 3

(b)
Number of pills that Mrs David collected in total
= 5 u
= 5 x 120
= 600

Number of pills that Mrs David collected each week
= 600 ÷ 20
= 30

Answer(s): (a) 3; (b) 30