Every week, Mrs Fred collected 40% more vitamin pills than Mrs Bobby 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 392 vitamin pills and Mrs Fred's family members consumed 336 more vitamin pills than Mrs Bobby's family.

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

(a)
40% + 100% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

Number of pills Mrs Bobby collected in total = 5 u
Number of pills Mrs Fred collected in total = 7 u

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

Number of weeks
= 392 ÷ 28
= 14

Difference in the number of pills Mrs Fred's family consumed more than Mrs Bobby's family
= 7 u - 5 u
= 2 u

2 u = 336

1 u = 336 ÷ 2 = 168

Number of pills that Mrs Fred collected in total
= 7 u
= 7 x 168
= 1176

Number of pills that Mrs Fred's family consumed per week
= 1176 ÷ 14
= 84

Number of members in Mrs Fred's family
= 84 ÷ 14
= 6

(b)
Number of pills that Mrs Bobby collected in total
= 5 u
= 5 x 168
= 840

Number of pills that Mrs Bobby collected each week
= 840 ÷ 14
= 60

Answer(s): (a) 6; (b) 60