Respuesta :
Answer:
[tex]\frac{7}{2} \times \frac{52}{3}[/tex]
Step-by-step 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 [tex]3\frac{1}{2}\ pound[/tex] bag of cat food every 3 weeks.
First, lets convert the fraction for number of bag given into improper fraction.
Gary buy= [tex]\frac{3\times 2+1}{2} = \frac{7}{2}[/tex] pound bag of cat food every 3 weeks.
Gary´s cat eat [tex]\frac{7}{2} \ pound[/tex] 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= [tex]\frac{52}{3}[/tex]
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= [tex]Number\ of\ pound\ of\ Cat\ food\ bought\ each\ time \times number\ of\ time\ each\ year[/tex]
⇒ Number of pounds of cat food ate by Cat each year= [tex]\frac{7}{2} \times \frac{52}{3}[/tex]
Hence, the required expression is [tex]\frac{7}{2} \times \frac{52}{3}[/tex]