Every week, Mrs Cole collected 40% more vitamin pills than Mrs Mark 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 630 vitamin pills and Mrs Cole's family members consumed 360 more vitamin pills than Mrs Mark's family.

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

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

Number of pills Mrs Mark collected in total = 5 u
Number of pills Mrs Cole collected in total = 7 u

Total pills eaten per week by Mrs Mark and Mrs Cole
= 21 + 21
= 42

Number of weeks
= 630 ÷ 42
= 15

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

2 u = 360

1 u = 360 ÷ 2 = 180

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

Number of pills that Mrs Cole's family consumed per week
= 1260 ÷ 15
= 84

Number of members in Mrs Cole's family
= 84 ÷ 21
= 4

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

Number of pills that Mrs Mark collected each week
= 900 ÷ 15
= 60

Answer(s): (a) 4; (b) 60