Every week, Mrs Ben collected 60% 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 1008 vitamin pills and Mrs Ben's family members consumed 756 more vitamin pills than Mrs Jeremy's family.
- How many members were there in Mrs Ben's family, if they each consumed 28 pills weekly?
- How many vitamin pills did Mrs Jeremy collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Jeremy collected in total = 5 u
Number of pills Mrs Ben collected in total = 8 u
Total pills eaten per week by Mrs Jeremy and Mrs Ben
= 28 + 28
= 56
Number of weeks
= 1008 ÷ 56
= 18
Difference in the number of pills Mrs Ben's family consumed more than Mrs Jeremy's family
= 8 u - 5 u
= 3 u
3 u = 756
1 u = 756 ÷ 3 = 252
Number of pills that Mrs Ben collected in total
= 8 u
= 8 x 252
= 2016
Number of pills that Mrs Ben's family consumed per week
= 2016 ÷ 18
= 112
Number of members in Mrs Ben's family
= 112 ÷ 28
= 4
(b)
Number of pills that Mrs Jeremy collected in total
= 5 u
= 5 x 252
= 1260
Number of pills that Mrs Jeremy collected each week
= 1260 ÷ 18
= 70
Answer(s): (a) 4; (b) 70