Every week, Mrs Warren collected 60% more vitamin pills than Mrs Michael 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 Warren's family members consumed 840 more vitamin pills than Mrs Michael's family.
- How many members were there in Mrs Warren's family, if they each consumed 28 pills weekly?
- How many vitamin pills did Mrs Michael collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Michael collected in total = 5 u
Number of pills Mrs Warren collected in total = 8 u
Total pills eaten per week by Mrs Michael and Mrs Warren
= 28 + 28
= 56
Number of weeks
= 1120 ÷ 56
= 20
Difference in the number of pills Mrs Warren's family consumed more than Mrs Michael's family
= 8 u - 5 u
= 3 u
3 u = 840
1 u = 840 ÷ 3 = 280
Number of pills that Mrs Warren collected in total
= 8 u
= 8 x 280
= 2240
Number of pills that Mrs Warren's family consumed per week
= 2240 ÷ 20
= 112
Number of members in Mrs Warren's family
= 112 ÷ 28
= 4
(b)
Number of pills that Mrs Michael collected in total
= 5 u
= 5 x 280
= 1400
Number of pills that Mrs Michael collected each week
= 1400 ÷ 20
= 70
Answer(s): (a) 4; (b) 70