Every week, Mrs Daniel collected 75% more vitamin pills than Mrs Tim 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 672 vitamin pills and Mrs Daniel's family members consumed 432 more vitamin pills than Mrs Tim's family. How many members were there in Mrs Daniel's family, if they each consumed 21 pills weekly? How many vitamin pills did Mrs Tim collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Tim collected in total = 4 u
Number of pills Mrs. Daniel collected in total = 7 u

Total pills eaten per week by Mrs. Tim and Mrs. Daniel
= 21 + 21
= 42

Number of weeks
= 672 ÷ 42
= 16

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

3 u = 432

1 u = 432 ÷ 3 = 144

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

Number of pills that Mrs. Daniel's family consumed per week
= 1008 ÷ 16
= 63

Number of members in Mrs. Daniel's family
= 63 ÷ 21
= 3

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

Number of pills that Mrs. Tim collected each week
= 576 ÷ 16
= 36

Answer(s): (a) 3; (b) 36