Question

Gary buys a 31/2 pound bag of cat food every 3 weeks.Gary feeds his cat the same amount of food each day.Write a numeric expression and solve to determine the number of pounds of cat food his cat eats each year?(year=52weeks)

Answer 1

`52* (7)/(6)`

`60(2)/(3)\text{ pounds}`

Explanation:

Given,

The total pounds eaten by cat in 3 weeks =
`3(1)/(2)`=
`(7)/(2)`

∵ Each day the pounds of eaten is same,

⇒ Total pounds eaten in each week =
`(7)/(6)`

∵ 1 year = 52 weeks,

So, the pounds eaten in 52 weeks or 1 year = 52 × pounds eaten in each week

= 52 ×
`(7)/(6)`

Which is the required expression,

By solving it,

The number of pounds eaten by cat in a year

`=(364)/(6)`

`=60(2)/(3)`