Every week, Mrs Harry collected 40% more vitamin pills than Mrs Jeremy from the pharmacy. They each consumed 28 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 504 vitamin pills and Mrs Harry's family members consumed 360 more vitamin pills than Mrs Jeremy's family.
- How many members were there in Mrs Harry's family, if they each consumed 28 pills weekly?
- How many vitamin pills did Mrs Jeremy collect from the pharmacy each week?
(a)
40% + 100% = 140%
140% =
140100 =
75 Number of pills Mrs Jeremy collected in total = 5 u
Number of pills Mrs Harry collected in total = 7 u
Total pills eaten per week by Mrs Jeremy and Mrs Harry
= 28 + 28
= 56
Number of weeks
= 504 ÷ 56
= 9
Difference in the number of pills Mrs Harry's family consumed more than Mrs Jeremy's family
= 7 u - 5 u
= 2 u
2 u = 360
1 u = 360 ÷ 2 = 180
Number of pills that Mrs Harry collected in total
= 7 u
= 7 x 180
= 1260
Number of pills that Mrs Harry's family consumed per week
= 1260 ÷ 9
= 140
Number of members in Mrs Harry's family
= 140 ÷ 28
= 5
(b)
Number of pills that Mrs Jeremy collected in total
= 5 u
= 5 x 180
= 900
Number of pills that Mrs Jeremy collected each week
= 900 ÷ 9
= 100
Answer(s): (a) 5; (b) 100