Every week, Mrs Cody collected 40% more vitamin pills than Mrs Reggie 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 462 vitamin pills and Mrs Cody's family members consumed 330 more vitamin pills than Mrs Reggie's family.
- How many members were there in Mrs Cody's family, if they each consumed 21 pills weekly?
- How many vitamin pills did Mrs Reggie collect from the pharmacy each week?
(a)
40% + 100% = 140%
140% =
140100 =
75 Number of pills Mrs Reggie collected in total = 5 u
Number of pills Mrs Cody collected in total = 7 u
Total pills eaten per week by Mrs Reggie and Mrs Cody
= 21 + 21
= 42
Number of weeks
= 462 ÷ 42
= 11
Difference in the number of pills Mrs Cody's family consumed more than Mrs Reggie's family
= 7 u - 5 u
= 2 u
2 u = 330
1 u = 330 ÷ 2 = 165
Number of pills that Mrs Cody collected in total
= 7 u
= 7 x 165
= 1155
Number of pills that Mrs Cody's family consumed per week
= 1155 ÷ 11
= 105
Number of members in Mrs Cody's family
= 105 ÷ 21
= 5
(b)
Number of pills that Mrs Reggie collected in total
= 5 u
= 5 x 165
= 825
Number of pills that Mrs Reggie collected each week
= 825 ÷ 11
= 75
Answer(s): (a) 5; (b) 75