Every week, Mrs Ian collected 75% more vitamin pills than Mrs Cole from the pharmacy. They each consumed 28 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 448 vitamin pills and Mrs Ian's family members consumed 480 more vitamin pills than Mrs Cole's family. How many members were there in Mrs Ian's family, if they each consumed 28 pills weekly? How many vitamin pills did Mrs Cole collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

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

Total pills eaten per week by Mrs. Cole and Mrs. Ian
= 28 + 28
= 56

Number of weeks
= 448 ÷ 56
= 8

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

3 u = 480

1 u = 480 ÷ 3 = 160

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

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

Number of members in Mrs. Ian's family
= 140 ÷ 28
= 5

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

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

Answer(s): (a) 5; (b) 80