Every week, Mrs Eric collected 60% more vitamin pills than Mrs Bryan 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 Eric's family members consumed 504 more vitamin pills than Mrs Bryan's family.
- How many members were there in Mrs Eric's family, if they each consumed 14 pills weekly?
- How many vitamin pills did Mrs Bryan collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Bryan collected in total = 5 u
Number of pills Mrs Eric collected in total = 8 u
Total pills eaten per week by Mrs Bryan and Mrs Eric
= 14 + 14
= 28
Number of weeks
= 224 ÷ 28
= 8
Difference in the number of pills Mrs Eric's family consumed more than Mrs Bryan's family
= 8 u - 5 u
= 3 u
3 u = 504
1 u = 504 ÷ 3 = 168
Number of pills that Mrs Eric collected in total
= 8 u
= 8 x 168
= 1344
Number of pills that Mrs Eric's family consumed per week
= 1344 ÷ 8
= 168
Number of members in Mrs Eric's family
= 168 ÷ 14
= 12
(b)
Number of pills that Mrs Bryan collected in total
= 5 u
= 5 x 168
= 840
Number of pills that Mrs Bryan collected each week
= 840 ÷ 8
= 105
Answer(s): (a) 12; (b) 105