Every week, Mrs Zeph collected 40% more vitamin pills than Mrs Julian 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 336 vitamin pills and Mrs Zeph's family members consumed 240 more vitamin pills than Mrs Julian'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 Julian collect from the pharmacy each week?
(a)
40% + 100% = 140%
140% =
140100 =
75 Number of pills Mrs Julian collected in total = 5 u
Number of pills Mrs Zeph collected in total = 7 u
Total pills eaten per week by Mrs Julian and Mrs Zeph
= 14 + 14
= 28
Number of weeks
= 336 ÷ 28
= 12
Difference in the number of pills Mrs Zeph's family consumed more than Mrs Julian's family
= 7 u - 5 u
= 2 u
2 u = 240
1 u = 240 ÷ 2 = 120
Number of pills that Mrs Zeph collected in total
= 7 u
= 7 x 120
= 840
Number of pills that Mrs Zeph's family consumed per week
= 840 ÷ 12
= 70
Number of members in Mrs Zeph's family
= 70 ÷ 14
= 5
(b)
Number of pills that Mrs Julian collected in total
= 5 u
= 5 x 120
= 600
Number of pills that Mrs Julian collected each week
= 600 ÷ 12
= 50
Answer(s): (a) 5; (b) 50