Every week, Mrs Lee collected 40% more vitamin pills than Mrs Cole 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 Lee's family members consumed 240 more vitamin pills than Mrs Cole's family.

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

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

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

Total pills eaten per week by Mrs Cole and Mrs Lee
= 14 + 14
= 28

Number of weeks
= 420 ÷ 28
= 15

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

2 u = 240

1 u = 240 ÷ 2 = 120

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

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

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

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

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

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