Every week, Mrs Archie collected 40% more vitamin pills than Mrs Glen from the pharmacy. They each consumed 21 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 336 vitamin pills and Mrs Archie's family members consumed 240 more vitamin pills than Mrs Glen's family.
- How many members were there in Mrs Archie's family, if they each consumed 21 pills weekly?
- How many vitamin pills did Mrs Glen collect from the pharmacy each week?
(a)
40% + 100% = 140%
140% =
140100 =
75 Number of pills Mrs Glen collected in total = 5 u
Number of pills Mrs Archie collected in total = 7 u
Total pills eaten per week by Mrs Glen and Mrs Archie
= 21 + 21
= 42
Number of weeks
= 336 ÷ 42
= 8
Difference in the number of pills Mrs Archie's family consumed more than Mrs Glen'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 ÷ 8
= 105
Number of members in Mrs Archie's family
= 105 ÷ 21
= 5
(b)
Number of pills that Mrs Glen collected in total
= 5 u
= 5 x 120
= 600
Number of pills that Mrs Glen collected each week
= 600 ÷ 8
= 75
Answer(s): (a) 5; (b) 75
