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