Every week, Mrs Ian collected 75% more vitamin pills than Mrs Seth 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 672 vitamin pills and Mrs Ian's family members consumed 432 more vitamin pills than Mrs Seth's family. How many members were there in Mrs Ian's family, if they each consumed 28 pills weekly? How many vitamin pills did Mrs Seth collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Seth collected in total = 4 u
Number of pills Mrs. Ian collected in total = 7 u

Total pills eaten per week by Mrs. Seth and Mrs. Ian
= 28 + 28
= 56

Number of weeks
= 672 ÷ 56
= 12

Difference in the number of pills Mrs. Ian's family consumed more than Mrs. Seth's family
= 7 u - 4 u
= 3 u

3 u = 432

1 u = 432 ÷ 3 = 144

Number of pills that Mrs. Ian collected in total
= 7 u
= 7 x 144
= 1008

Number of pills that Mrs. Ian's family consumed per week
= 1008 ÷ 12
= 84

Number of members in Mrs. Ian's family
= 84 ÷ 28
= 3

(b)
Number of pills that Mrs. Seth collected in total
= 4 u
= 4 x 144
= 576

Number of pills that Mrs. Seth collected each week
= 576 ÷ 12
= 48

Answer(s): (a) 3; (b) 48