Every week, Mrs Bobby collected 75% more vitamin pills than Mrs Glen 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 476 vitamin pills and Mrs Bobby's family members consumed 306 more vitamin pills than Mrs Glen's family. How many members were there in Mrs Bobby's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Glen collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Glen collected in total = 4 u
Number of pills Mrs. Bobby collected in total = 7 u

Total pills eaten per week by Mrs. Glen and Mrs. Bobby
= 14 + 14
= 28

Number of weeks
= 476 ÷ 28
= 17

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

3 u = 306

1 u = 306 ÷ 3 = 102

Number of pills that Mrs. Bobby collected in total
= 7 u
= 7 x 102
= 714

Number of pills that Mrs. Bobby's family consumed per week
= 714 ÷ 17
= 42

Number of members in Mrs. Bobby's family
= 42 ÷ 14
= 3

(b)
Number of pills that Mrs. Glen collected in total
= 4 u
= 4 x 102
= 408

Number of pills that Mrs. Glen collected each week
= 408 ÷ 17
= 24

Answer(s): (a) 3; (b) 24