Every week, Mrs Vincent collected 60% more vitamin pills than Mrs Cody from the pharmacy. They each consumed 28 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 1120 vitamin pills and Mrs Vincent's family members consumed 420 more vitamin pills than Mrs Cody's family.

1. How many members were there in Mrs Vincent's family, if they each consumed 28 pills weekly?
2. How many vitamin pills did Mrs Cody collect from the pharmacy each week?

(a)
60% + 100% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

Number of pills Mrs Cody collected in total = 5 u
Number of pills Mrs Vincent collected in total = 8 u

Total pills eaten per week by Mrs Cody and Mrs Vincent
= 28 + 28
= 56

Number of weeks
= 1120 ÷ 56
= 20

Difference in the number of pills Mrs Vincent's family consumed more than Mrs Cody's family
= 8 u - 5 u
= 3 u

3 u = 420

1 u = 420 ÷ 3 = 140

Number of pills that Mrs Vincent collected in total
= 8 u
= 8 x 140
= 1120

Number of pills that Mrs Vincent's family consumed per week
= 1120 ÷ 20
= 56

Number of members in Mrs Vincent's family
= 56 ÷ 28
= 2

(b)
Number of pills that Mrs Cody collected in total
= 5 u
= 5 x 140
= 700

Number of pills that Mrs Cody collected each week
= 700 ÷ 20
= 35

Answer(s): (a) 2; (b) 35