Every week, Mrs Howard collected 40% more vitamin pills than Mrs Xavier 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 784 vitamin pills and Mrs Howard's family members consumed 336 more vitamin pills than Mrs Xavier's family.

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

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

Number of pills Mrs Xavier collected in total = 5 u
Number of pills Mrs Howard collected in total = 7 u

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

Number of weeks
= 784 ÷ 56
= 14

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

2 u = 336

1 u = 336 ÷ 2 = 168

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

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

Number of members in Mrs Howard's family
= 84 ÷ 28
= 3

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

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

Answer(s): (a) 3; (b) 60