Every week, Mrs Oliver collected 60% more vitamin pills than Mrs Ivan 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 448 vitamin pills and Mrs Oliver's family members consumed 336 more vitamin pills than Mrs Ivan's family.
- How many members were there in Mrs Oliver's family, if they each consumed 28 pills weekly?
- How many vitamin pills did Mrs Ivan collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Ivan collected in total = 5 u
Number of pills Mrs Oliver collected in total = 8 u
Total pills eaten per week by Mrs Ivan and Mrs Oliver
= 28 + 28
= 56
Number of weeks
= 448 ÷ 56
= 8
Difference in the number of pills Mrs Oliver's family consumed more than Mrs Ivan's family
= 8 u - 5 u
= 3 u
3 u = 336
1 u = 336 ÷ 3 = 112
Number of pills that Mrs Oliver collected in total
= 8 u
= 8 x 112
= 896
Number of pills that Mrs Oliver's family consumed per week
= 896 ÷ 8
= 112
Number of members in Mrs Oliver's family
= 112 ÷ 28
= 4
(b)
Number of pills that Mrs Ivan collected in total
= 5 u
= 5 x 112
= 560
Number of pills that Mrs Ivan collected each week
= 560 ÷ 8
= 70
Answer(s): (a) 4; (b) 70