Every week, Mrs Zeph collected 60% more vitamin pills than Mrs Cody 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 280 vitamin pills and Mrs Zeph's family members consumed 840 more vitamin pills than Mrs Cody's family.
- How many members were there in Mrs Zeph's family, if they each consumed 14 pills weekly?
- How many vitamin pills did Mrs Cody collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Cody collected in total = 5 u
Number of pills Mrs Zeph collected in total = 8 u
Total pills eaten per week by Mrs Cody and Mrs Zeph
= 14 + 14
= 28
Number of weeks
= 280 ÷ 28
= 10
Difference in the number of pills Mrs Zeph's family consumed more than Mrs Cody's family
= 8 u - 5 u
= 3 u
3 u = 840
1 u = 840 ÷ 3 = 280
Number of pills that Mrs Zeph collected in total
= 8 u
= 8 x 280
= 2240
Number of pills that Mrs Zeph's family consumed per week
= 2240 ÷ 10
= 224
Number of members in Mrs Zeph's family
= 224 ÷ 14
= 16
(b)
Number of pills that Mrs Cody collected in total
= 5 u
= 5 x 280
= 1400
Number of pills that Mrs Cody collected each week
= 1400 ÷ 10
= 140
Answer(s): (a) 16; (b) 140