Every week, Mrs Carl collected 60% more vitamin pills than Mrs Neave 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 Carl's family members consumed 756 more vitamin pills than Mrs Neave'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 Neave collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Neave collected in total = 5 u
Number of pills Mrs Carl collected in total = 8 u
Total pills eaten per week by Mrs Neave and Mrs Carl
= 28 + 28
= 56
Number of weeks
= 504 ÷ 56
= 9
Difference in the number of pills Mrs Carl's family consumed more than Mrs Neave's family
= 8 u - 5 u
= 3 u
3 u = 756
1 u = 756 ÷ 3 = 252
Number of pills that Mrs Carl collected in total
= 8 u
= 8 x 252
= 2016
Number of pills that Mrs Carl's family consumed per week
= 2016 ÷ 9
= 224
Number of members in Mrs Carl's family
= 224 ÷ 28
= 8
(b)
Number of pills that Mrs Neave collected in total
= 5 u
= 5 x 252
= 1260
Number of pills that Mrs Neave collected each week
= 1260 ÷ 9
= 140
Answer(s): (a) 8; (b) 140