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

Number of pills Mrs. Harry collected in total = 4 u
Number of pills Mrs. Eric collected in total = 7 u

Total pills eaten per week by Mrs. Harry and Mrs. Eric
= 14 + 14
= 28

Number of weeks
= 420 ÷ 28
= 15

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

3 u = 540

1 u = 540 ÷ 3 = 180

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

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

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

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

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

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