Every week, Mrs Cole collected 40% more vitamin pills than Mrs Julian 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 Cole's family members consumed 320 more vitamin pills than Mrs Julian's family.

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

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

Number of pills Mrs Julian collected in total = 5 u
Number of pills Mrs Cole collected in total = 7 u

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

Number of weeks
= 448 ÷ 56
= 8

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

2 u = 320

1 u = 320 ÷ 2 = 160

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

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

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

(b)
Number of pills that Mrs Julian collected in total
= 5 u
= 5 x 160
= 800

Number of pills that Mrs Julian collected each week
= 800 ÷ 8
= 100

Answer(s): (a) 5; (b) 100