Beth and Lewis buy the same amount of fish pellets. If Beth feeds her goldfish 14 fish pellets each day, a container of pellets will last 20 days. If Lewis feeds his goldfish 8 fish pellets each day, how many more days will the container of pellets last Lewis' goldfish?
See the first Related Question below.
To solve this problem, we can use a proportional relationship between the number of fish pellets and the number of days the container will last.
Let's first determine the number of fish pellets in a container. Since Beth's container lasts 20 days when she feeds her goldfish 14 fish pellets each day, we can multiply: 20 days * 14 fish pellets/day = 280 fish pellets.
To find out how many days the container will last Lewis' goldfish, we need to determine the number of days given that he feeds his goldfish 8 fish pellets each day.
We can set up a proportion to solve for the number of days:
14 fish pellets/day = 20 days
8 fish pellets/day = x days
Using cross-multiplication:
14x = 20 * 8
14x = 160
To isolate x, divide both sides of the equation by 14:
x = 160 / 14
x = 11.43
Since we can't have a fraction of a day, we round up to the nearest whole number. Therefore, a container of fish pellets will last Lewis' goldfish for 12 more days than Beth's goldfish.