Every week, Mrs Eric collected 60% more vitamin pills than Mrs Jack 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 Eric's family members consumed 378 more vitamin pills than Mrs Jack's family.
- How many members were there in Mrs Eric's family, if they each consumed 28 pills weekly?
- How many vitamin pills did Mrs Jack collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Jack collected in total = 5 u
Number of pills Mrs Eric collected in total = 8 u
Total pills eaten per week by Mrs Jack and Mrs Eric
= 28 + 28
= 56
Number of weeks
= 1008 ÷ 56
= 18
Difference in the number of pills Mrs Eric's family consumed more than Mrs Jack's family
= 8 u - 5 u
= 3 u
3 u = 378
1 u = 378 ÷ 3 = 126
Number of pills that Mrs Eric collected in total
= 8 u
= 8 x 126
= 1008
Number of pills that Mrs Eric's family consumed per week
= 1008 ÷ 18
= 56
Number of members in Mrs Eric's family
= 56 ÷ 28
= 2
(b)
Number of pills that Mrs Jack collected in total
= 5 u
= 5 x 126
= 630
Number of pills that Mrs Jack collected each week
= 630 ÷ 18
= 35
Answer(s): (a) 2; (b) 35