Every week, Mrs Carl collected 75% more vitamin pills than Mrs Brandon from the pharmacy. They each consumed 21 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 630 vitamin pills and Mrs Carl's family members consumed 540 more vitamin pills than Mrs Brandon's family. How many members were there in Mrs Carl's family, if they each consumed 21 pills weekly? How many vitamin pills did Mrs Brandon collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Brandon collected in total = 4 u
Number of pills Mrs. Carl collected in total = 7 u

Total pills eaten per week by Mrs. Brandon and Mrs. Carl
= 21 + 21
= 42

Number of weeks
= 630 ÷ 42
= 15

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

3 u = 540

1 u = 540 ÷ 3 = 180

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

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

Number of members in Mrs. Carl's family
= 84 ÷ 21
= 4

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

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

Answer(s): (a) 4; (b) 48