Question

Gary buys a 312-pound bag of cat food every 3 weeks. Gary feeds his cat the same amount of food each day.

Which expression can Gary use to determine the number of pounds of cat food his cat eats each year? (1 year = 52 weeks)

Answer 1

`(7)/(2) * (52)/(3)`

Explanation:

Here is correct question: Gary buys a 3 1/2-pound bag of cat food every 3 weeks. Gary feeds his cat the same amount of food each day.

Given: Gary buys
`3(1)/(2)\ pound` bag of cat food every 3 weeks.

First, lets convert the fraction for number of bag given into improper fraction.

Gary buy=
`(3* 2+1)/(2) = (7)/(2)` pound bag of cat food every 3 weeks.

Gary´s cat eat
`(7)/(2) \ pound` of cat food every 3 weeks,

We know, 1 years= 52 weeks.

∴ finding number of times gary bought Cat food in a year.

Number of time gary bought cat food in a year=
`(52)/(3)`

Now, forming an expression to find the number of pounds of cat food ate by his cat each year.

Total cat food eat by cat each year=
`Number\ of\ pound\ of\ Cat\ food\ bought\ each\ time * number\ of\ time\ each\ year`

⇒ Number of pounds of cat food ate by Cat each year=
`(7)/(2) * (52)/(3)`

Hence, the required expression is
`(7)/(2) * (52)/(3)`