Every week, Mrs Daniel collected 75% more vitamin pills than Mrs Nick 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 756 vitamin pills and Mrs Daniel's family members consumed 486 more vitamin pills than Mrs Nick'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 Nick collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

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

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

Number of weeks
= 756 ÷ 42
= 18

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

3 u = 486

1 u = 486 ÷ 3 = 162

Number of pills that Mrs. Daniel collected in total
= 7 u
= 7 x 162
= 1134

Number of pills that Mrs. Daniel's family consumed per week
= 1134 ÷ 18
= 63

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

(b)
Number of pills that Mrs. Nick collected in total
= 4 u
= 4 x 162
= 648

Number of pills that Mrs. Nick collected each week
= 648 ÷ 18
= 36

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