Question

Carlos is helping his grandmother make a rug.They have 5 yards of fabric,which is equal to 180 inches.They need an additional of 4 1/2 yards of fabric to finish the trim.

Answer 1

Answer: 162

Step-by-step explanation: I took it

Answer 2

162 inches.

Explanation:

Please consider the complete question.

Carlos is helping his grandmother make a rug. They have 5 yards of fabric, which is equal to 180 inches. They need an additional of 4 1/2 yards of fabric to finish the trim. How many inches are in
`4(1)/(2)` yards?

Let us convert
`4(1)/(2)` into improper fraction as:

`4(1)/(2)=(4\cdot 2+1)/(2)=(8+1)/(2)=(9)/(2)`

Now, we will use proportions to solve our given problem as:

`\frac{\text{Inches}}{\text{Yard}}=(180)/(5)`

`\frac{\text{Inches}}{\text{Yard}}=36`

`1\text{ Yard}=36\text{ Inches}`

To find number of inches in 9/2 yards, we will multiply 9/2 by 36 as:

`(9)/(2)\text{ Yards}=(9)/(2)* 36\text{ Inches}`

`(9)/(2)\text{ Yards}=9* 18\text{ Inches}`

`(9)/(2)\text{ Yards}=162\text{ Inches}`

Therefore, there are 162 inches in
`4(1)/(2)` yards.