Every week, Mrs Henry collected 40% more vitamin pills than Mrs Sam 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 420 vitamin pills and Mrs Henry's family members consumed 240 more vitamin pills than Mrs Sam's family.

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

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

Number of pills Mrs Sam collected in total = 5 u
Number of pills Mrs Henry collected in total = 7 u

Total pills eaten per week by Mrs Sam and Mrs Henry
= 14 + 14
= 28

Number of weeks
= 420 ÷ 28
= 15

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

2 u = 240

1 u = 240 ÷ 2 = 120

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

Number of pills that Mrs Henry's family consumed per week
= 840 ÷ 15
= 56

Number of members in Mrs Henry's family
= 56 ÷ 14
= 4

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

Number of pills that Mrs Sam collected each week
= 600 ÷ 15
= 40

Answer(s): (a) 4; (b) 40