Every week, Mrs Michael collected 60% more vitamin pills than Mrs Eric 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 1008 vitamin pills and Mrs Michael's family members consumed 756 more vitamin pills than Mrs Eric's family.
- How many members were there in Mrs Michael's family, if they each consumed 28 pills weekly?
- How many vitamin pills did Mrs Eric collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Eric collected in total = 5 u
Number of pills Mrs Michael collected in total = 8 u
Total pills eaten per week by Mrs Eric and Mrs Michael
= 28 + 28
= 56
Number of weeks
= 1008 ÷ 56
= 18
Difference in the number of pills Mrs Michael's family consumed more than Mrs Eric's family
= 8 u - 5 u
= 3 u
3 u = 756
1 u = 756 ÷ 3 = 252
Number of pills that Mrs Michael collected in total
= 8 u
= 8 x 252
= 2016
Number of pills that Mrs Michael's family consumed per week
= 2016 ÷ 18
= 112
Number of members in Mrs Michael's family
= 112 ÷ 28
= 4
(b)
Number of pills that Mrs Eric collected in total
= 5 u
= 5 x 252
= 1260
Number of pills that Mrs Eric collected each week
= 1260 ÷ 18
= 70
Answer(s): (a) 4; (b) 70