Every week, Mrs Elijah collected 60% more vitamin pills than Mrs Rael 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 1120 vitamin pills and Mrs Elijah's family members consumed 420 more vitamin pills than Mrs Rael's family.

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

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

Number of pills Mrs Rael collected in total = 5 u
Number of pills Mrs Elijah collected in total = 8 u

Total pills eaten per week by Mrs Rael and Mrs Elijah
= 28 + 28
= 56

Number of weeks
= 1120 ÷ 56
= 20

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

3 u = 420

1 u = 420 ÷ 3 = 140

Number of pills that Mrs Elijah collected in total
= 8 u
= 8 x 140
= 1120

Number of pills that Mrs Elijah's family consumed per week
= 1120 ÷ 20
= 56

Number of members in Mrs Elijah's family
= 56 ÷ 28
= 2

(b)
Number of pills that Mrs Rael collected in total
= 5 u
= 5 x 140
= 700

Number of pills that Mrs Rael collected each week
= 700 ÷ 20
= 35

Answer(s): (a) 2; (b) 35