Every week, Mrs Charlie collected 60% more vitamin pills than Mrs Howard 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 560 vitamin pills and Mrs Charlie's family members consumed 840 more vitamin pills than Mrs Howard's family.

1. How many members were there in Mrs Charlie's family, if they each consumed 28 pills weekly?
2. How many vitamin pills did Mrs Howard collect from the pharmacy each week?

(a)
60% + 100% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

Number of pills Mrs Howard collected in total = 5 u
Number of pills Mrs Charlie collected in total = 8 u

Total pills eaten per week by Mrs Howard and Mrs Charlie
= 28 + 28
= 56

Number of weeks
= 560 ÷ 56
= 10

Difference in the number of pills Mrs Charlie's family consumed more than Mrs Howard's family
= 8 u - 5 u
= 3 u

3 u = 840

1 u = 840 ÷ 3 = 280

Number of pills that Mrs Charlie collected in total
= 8 u
= 8 x 280
= 2240

Number of pills that Mrs Charlie's family consumed per week
= 2240 ÷ 10
= 224

Number of members in Mrs Charlie's family
= 224 ÷ 28
= 8

(b)
Number of pills that Mrs Howard collected in total
= 5 u
= 5 x 280
= 1400

Number of pills that Mrs Howard collected each week
= 1400 ÷ 10
= 140

Answer(s): (a) 8; (b) 140