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