Every week, Mrs Riordan collected 40% more vitamin pills than Mrs Liam 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 784 vitamin pills and Mrs Riordan's family members consumed 224 more vitamin pills than Mrs Liam's family.

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

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

Number of pills Mrs Liam collected in total = 5 u
Number of pills Mrs Riordan collected in total = 7 u

Total pills eaten per week by Mrs Liam and Mrs Riordan
= 28 + 28
= 56

Number of weeks
= 784 ÷ 56
= 14

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

2 u = 224

1 u = 224 ÷ 2 = 112

Number of pills that Mrs Riordan collected in total
= 7 u
= 7 x 112
= 784

Number of pills that Mrs Riordan's family consumed per week
= 784 ÷ 14
= 56

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

(b)
Number of pills that Mrs Liam collected in total
= 5 u
= 5 x 112
= 560

Number of pills that Mrs Liam collected each week
= 560 ÷ 14
= 40

Answer(s): (a) 2; (b) 40