Every week, Mrs Ahmad collected 40% more vitamin pills than Mrs Lee 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 Ahmad's family members consumed 240 more vitamin pills than Mrs Lee's family.
- How many members were there in Mrs Ahmad's family, if they each consumed 14 pills weekly?
- How many vitamin pills did Mrs Lee collect from the pharmacy each week?
(a)
40% + 100% = 140%
140% =
140100 =
75 Number of pills Mrs Lee collected in total = 5 u
Number of pills Mrs Ahmad collected in total = 7 u
Total pills eaten per week by Mrs Lee and Mrs Ahmad
= 14 + 14
= 28
Number of weeks
= 280 ÷ 28
= 10
Difference in the number of pills Mrs Ahmad's family consumed more than Mrs Lee's family
= 7 u - 5 u
= 2 u
2 u = 240
1 u = 240 ÷ 2 = 120
Number of pills that Mrs Ahmad collected in total
= 7 u
= 7 x 120
= 840
Number of pills that Mrs Ahmad's family consumed per week
= 840 ÷ 10
= 84
Number of members in Mrs Ahmad's family
= 84 ÷ 14
= 6
(b)
Number of pills that Mrs Lee collected in total
= 5 u
= 5 x 120
= 600
Number of pills that Mrs Lee collected each week
= 600 ÷ 10
= 60
Answer(s): (a) 6; (b) 60