Every week, Mrs Justin collected 75% more vitamin pills than Mrs Elijah 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 Justin's family members consumed 540 more vitamin pills than Mrs Elijah's family. How many members were there in Mrs Justin's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Elijah collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Elijah collected in total = 4 u
Number of pills Mrs. Justin collected in total = 7 u

Total pills eaten per week by Mrs. Elijah and Mrs. Justin
= 14 + 14
= 28

Number of weeks
= 420 ÷ 28
= 15

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

3 u = 540

1 u = 540 ÷ 3 = 180

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

Number of pills that Mrs. Justin's family consumed per week
= 1260 ÷ 15
= 84

Number of members in Mrs. Justin's family
= 84 ÷ 14
= 6

(b)
Number of pills that Mrs. Elijah collected in total
= 4 u
= 4 x 180
= 720

Number of pills that Mrs. Elijah collected each week
= 720 ÷ 15
= 48

Answer(s): (a) 6; (b) 48