Every week, Mrs Sam collected 60% more vitamin pills than Mrs Rael from the pharmacy. They each consumed 14 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 280 vitamin pills and Mrs Sam's family members consumed 840 more vitamin pills than Mrs Rael's family.
- How many members were there in Mrs Sam's family, if they each consumed 14 pills weekly?
- How many vitamin pills did Mrs Rael collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Rael collected in total = 5 u
Number of pills Mrs Sam collected in total = 8 u
Total pills eaten per week by Mrs Rael and Mrs Sam
= 14 + 14
= 28
Number of weeks
= 280 ÷ 28
= 10
Difference in the number of pills Mrs Sam's family consumed more than Mrs Rael's family
= 8 u - 5 u
= 3 u
3 u = 840
1 u = 840 ÷ 3 = 280
Number of pills that Mrs Sam collected in total
= 8 u
= 8 x 280
= 2240
Number of pills that Mrs Sam's family consumed per week
= 2240 ÷ 10
= 224
Number of members in Mrs Sam's family
= 224 ÷ 14
= 16
(b)
Number of pills that Mrs Rael collected in total
= 5 u
= 5 x 280
= 1400
Number of pills that Mrs Rael collected each week
= 1400 ÷ 10
= 140
Answer(s): (a) 16; (b) 140