Every week, Mrs Dylan collected 75% more vitamin pills than Mrs Lee 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 224 vitamin pills and Mrs Dylan's family members consumed 480 more vitamin pills than Mrs Lee's family. How many members were there in Mrs Dylan's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Lee collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Lee collected in total = 4 u
Number of pills Mrs. Dylan collected in total = 7 u

Total pills eaten per week by Mrs. Lee and Mrs. Dylan
= 14 + 14
= 28

Number of weeks
= 224 ÷ 28
= 8

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

3 u = 480

1 u = 480 ÷ 3 = 160

Number of pills that Mrs. Dylan collected in total
= 7 u
= 7 x 160
= 1120

Number of pills that Mrs. Dylan's family consumed per week
= 1120 ÷ 8
= 140

Number of members in Mrs. Dylan's family
= 140 ÷ 14
= 10

(b)
Number of pills that Mrs. Lee collected in total
= 4 u
= 4 x 160
= 640

Number of pills that Mrs. Lee collected each week
= 640 ÷ 8
= 80

Answer(s): (a) 10; (b) 80