Every week, Mrs Luke collected 40% more vitamin pills than Mrs Wesley from the pharmacy. They each consumed 21 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 840 vitamin pills and Mrs Luke's family members consumed 360 more vitamin pills than Mrs Wesley's family.

1. How many members were there in Mrs Luke's family, if they each consumed 21 pills weekly?
2. How many vitamin pills did Mrs Wesley collect from the pharmacy each week?

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

Number of pills Mrs Wesley collected in total = 5 u
Number of pills Mrs Luke collected in total = 7 u

Total pills eaten per week by Mrs Wesley and Mrs Luke
= 21 + 21
= 42

Number of weeks
= 840 ÷ 42
= 20

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

2 u = 360

1 u = 360 ÷ 2 = 180

Number of pills that Mrs Luke collected in total
= 7 u
= 7 x 180
= 1260

Number of pills that Mrs Luke's family consumed per week
= 1260 ÷ 20
= 63

Number of members in Mrs Luke's family
= 63 ÷ 21
= 3

(b)
Number of pills that Mrs Wesley collected in total
= 5 u
= 5 x 180
= 900

Number of pills that Mrs Wesley collected each week
= 900 ÷ 20
= 45

Answer(s): (a) 3; (b) 45