Mrs. Smith was complaining about her teenagers drinking too much soda. Her three teens drank two cases of soda every five weeks. Mrs. Jones replied that her six teens go through five cases every four weeks. Who drinks more soda in a week on the average, one of Mrs. Smith’s teens, or one of Mrs. Jones‘?
Smith:
1 teen drinks 2/3 case / 5 weeks
so
1 teen drinks 2/15 case / 1 week
===============================Jones
1 teen drinks 5/6 case / 4 weeks
so
1 teen drinks 5/24 case / 1 week
========================
smith 2/15
jones 5/24
which is bigger?
15 = 3*5
24 = 3 * 8
3*8*5 = 120
smith 16/120
jones 25/120 JONES is bigger :)
jones 5/24
Mrs Jones is bigger
To compare the amount of soda consumed per week by one teenager from Mrs. Smith's family and one teenager from Mrs. Jones' family, we need to convert the given information into a common unit, like the number of cases of soda consumed in a week.
Given information:
Mrs. Smith's three teens drink two cases of soda every five weeks.
Mrs. Jones' six teens drink five cases of soda every four weeks.
To find the amount of soda consumed by one teenager in a week, we can use the following steps:
1. Convert the amount of soda consumed by Mrs. Smith's three teens into a per-week ratio:
- Calculate the number of cases consumed by Mrs. Smith's three teens in one week:
(2 cases) / (5 weeks) = 0.4 cases per week
- Divide this value by the number of teens:
0.4 cases per week / 3 teens = 0.133 cases per week consumed by one teenager from Mrs. Smith's family.
2. Convert the amount of soda consumed by Mrs. Jones' six teens into a per-week ratio:
- Calculate the number of cases consumed by Mrs. Jones' six teens in one week:
(5 cases) / (4 weeks) = 1.25 cases per week
- Divide this value by the number of teens:
1.25 cases per week / 6 teens = 0.208 cases per week consumed by one teenager from Mrs. Jones' family.
Based on these calculations, one teenager from Mrs. Smith's family consumes approximately 0.133 cases of soda per week, and one teenager from Mrs. Jones' family consumes approximately 0.208 cases of soda per week.
Therefore, one teenager from Mrs. Jones' family drinks more soda on average in a week compared to one teenager from Mrs. Smith's family.