Every week, Mrs Ryan collected 40% more vitamin pills than Mrs Bryan 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 504 vitamin pills and Mrs Ryan's family members consumed 360 more vitamin pills than Mrs Bryan's family.

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

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

Number of pills Mrs Bryan collected in total = 5 u
Number of pills Mrs Ryan collected in total = 7 u

Total pills eaten per week by Mrs Bryan and Mrs Ryan
= 14 + 14
= 28

Number of weeks
= 504 ÷ 28
= 18

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

2 u = 360

1 u = 360 ÷ 2 = 180

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

Number of pills that Mrs Ryan's family consumed per week
= 1260 ÷ 18
= 70

Number of members in Mrs Ryan's family
= 70 ÷ 14
= 5

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

Number of pills that Mrs Bryan collected each week
= 900 ÷ 18
= 50

Answer(s): (a) 5; (b) 50