Every week, Mrs Cole collected 75% more vitamin pills than Mrs Will 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 280 vitamin pills and Mrs Cole's family members consumed 540 more vitamin pills than Mrs Will's family. How many members were there in Mrs Cole's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Will collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Will collected in total = 4 u
Number of pills Mrs. Cole collected in total = 7 u

Total pills eaten per week by Mrs. Will and Mrs. Cole
= 14 + 14
= 28

Number of weeks
= 280 ÷ 28
= 10

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

3 u = 540

1 u = 540 ÷ 3 = 180

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

Number of pills that Mrs. Cole's family consumed per week
= 1260 ÷ 10
= 126

Number of members in Mrs. Cole's family
= 126 ÷ 14
= 9

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

Number of pills that Mrs. Will collected each week
= 720 ÷ 10
= 72

Answer(s): (a) 9; (b) 72