Every week, Mrs Tim collected 60% more vitamin pills than Mrs George 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 280 vitamin pills and Mrs Tim's family members consumed 840 more vitamin pills than Mrs George's family.

1. How many members were there in Mrs Tim's family, if they each consumed 14 pills weekly?
2. How many vitamin pills did Mrs George collect from the pharmacy each week?

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

Number of pills Mrs George collected in total = 5 u
Number of pills Mrs Tim collected in total = 8 u

Total pills eaten per week by Mrs George and Mrs Tim
= 14 + 14
= 28

Number of weeks
= 280 ÷ 28
= 10

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

3 u = 840

1 u = 840 ÷ 3 = 280

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

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

Number of members in Mrs Tim's family
= 224 ÷ 14
= 16

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

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

Answer(s): (a) 16; (b) 140