Every week, Mrs Bobby collected 60% more vitamin pills than Mrs Ryan 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 560 vitamin pills and Mrs Bobby's family members consumed 840 more vitamin pills than Mrs Ryan's family.
- How many members were there in Mrs Bobby's family, if they each consumed 28 pills weekly?
- How many vitamin pills did Mrs Ryan collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Ryan collected in total = 5 u
Number of pills Mrs Bobby collected in total = 8 u
Total pills eaten per week by Mrs Ryan and Mrs Bobby
= 28 + 28
= 56
Number of weeks
= 560 ÷ 56
= 10
Difference in the number of pills Mrs Bobby's family consumed more than Mrs Ryan's family
= 8 u - 5 u
= 3 u
3 u = 840
1 u = 840 ÷ 3 = 280
Number of pills that Mrs Bobby collected in total
= 8 u
= 8 x 280
= 2240
Number of pills that Mrs Bobby's family consumed per week
= 2240 ÷ 10
= 224
Number of members in Mrs Bobby's family
= 224 ÷ 28
= 8
(b)
Number of pills that Mrs Ryan collected in total
= 5 u
= 5 x 280
= 1400
Number of pills that Mrs Ryan collected each week
= 1400 ÷ 10
= 140
Answer(s): (a) 8; (b) 140