Every week, Mrs Jack collected 60% more vitamin pills than Mrs Asher from the pharmacy. They each consumed 14 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 Jack's family members consumed 336 more vitamin pills than Mrs Asher's family.
- How many members were there in Mrs Jack's family, if they each consumed 14 pills weekly?
- How many vitamin pills did Mrs Asher collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Asher collected in total = 5 u
Number of pills Mrs Jack collected in total = 8 u
Total pills eaten per week by Mrs Asher and Mrs Jack
= 14 + 14
= 28
Number of weeks
= 448 ÷ 28
= 16
Difference in the number of pills Mrs Jack's family consumed more than Mrs Asher's family
= 8 u - 5 u
= 3 u
3 u = 336
1 u = 336 ÷ 3 = 112
Number of pills that Mrs Jack collected in total
= 8 u
= 8 x 112
= 896
Number of pills that Mrs Jack's family consumed per week
= 896 ÷ 16
= 56
Number of members in Mrs Jack's family
= 56 ÷ 14
= 4
(b)
Number of pills that Mrs Asher collected in total
= 5 u
= 5 x 112
= 560
Number of pills that Mrs Asher collected each week
= 560 ÷ 16
= 35
Answer(s): (a) 4; (b) 35