Every week, Mrs Archie collected 40% more vitamin pills than Mrs Oliver 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 420 vitamin pills and Mrs Archie's family members consumed 240 more vitamin pills than Mrs Oliver's family.
- How many members were there in Mrs Archie's family, if they each consumed 14 pills weekly?
- How many vitamin pills did Mrs Oliver collect from the pharmacy each week?
(a)
40% + 100% = 140%
140% =
140100 =
75 Number of pills Mrs Oliver collected in total = 5 u
Number of pills Mrs Archie collected in total = 7 u
Total pills eaten per week by Mrs Oliver and Mrs Archie
= 14 + 14
= 28
Number of weeks
= 420 ÷ 28
= 15
Difference in the number of pills Mrs Archie's family consumed more than Mrs Oliver's family
= 7 u - 5 u
= 2 u
2 u = 240
1 u = 240 ÷ 2 = 120
Number of pills that Mrs Archie collected in total
= 7 u
= 7 x 120
= 840
Number of pills that Mrs Archie's family consumed per week
= 840 ÷ 15
= 56
Number of members in Mrs Archie's family
= 56 ÷ 14
= 4
(b)
Number of pills that Mrs Oliver collected in total
= 5 u
= 5 x 120
= 600
Number of pills that Mrs Oliver collected each week
= 600 ÷ 15
= 40
Answer(s): (a) 4; (b) 40