Every week, Mrs Peter collected 60% more vitamin pills than Mrs David 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 224 vitamin pills and Mrs Peter's family members consumed 840 more vitamin pills than Mrs David's family.
- How many members were there in Mrs Peter's family, if they each consumed 14 pills weekly?
- How many vitamin pills did Mrs David collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs David collected in total = 5 u
Number of pills Mrs Peter collected in total = 8 u
Total pills eaten per week by Mrs David and Mrs Peter
= 14 + 14
= 28
Number of weeks
= 224 ÷ 28
= 8
Difference in the number of pills Mrs Peter's family consumed more than Mrs David's family
= 8 u - 5 u
= 3 u
3 u = 840
1 u = 840 ÷ 3 = 280
Number of pills that Mrs Peter collected in total
= 8 u
= 8 x 280
= 2240
Number of pills that Mrs Peter's family consumed per week
= 2240 ÷ 8
= 280
Number of members in Mrs Peter's family
= 280 ÷ 14
= 20
(b)
Number of pills that Mrs David collected in total
= 5 u
= 5 x 280
= 1400
Number of pills that Mrs David collected each week
= 1400 ÷ 8
= 175
Answer(s): (a) 20; (b) 175