Question

Tammy has 3 chains of different lengths as shown in the table. Complete the table. Find the length of the longest and shortest chains and the difference between them. Show the difference in inches, feet, and yards. *PLEASE ANSWER FULL QUESTION*

Answer 1

We are given chains

For Gold:

we are given length in yard

$L_g=3\frac{1}{2}yd$

we can simplify it

$L_g=3+\frac{1}{2}yd$

$L_g=3.5yd$

In feet:

we can change in feet

we know that

1 yard =3 feet

$L_g=3.5\times 1yd$

$L_g=3.5\times 3ft$

$L_g=10.5ft$

In inch:

we know that

1 feet =12inch

$L_g=10.5\times 1ft$

$L_g=10.5\times 12in$

$L_g=126in$

For Silver:

we are given length in feet

so,

In feet:

$L_s=12.5ft$

In yard:

$1 ft=\frac{1}{3} yd$

so, we can change feet into yard

$L_s=12.5\times 1ft$

$L_s=12.5\times \frac{1}{3} yd$

$L_s=4.1667yd$

In inch:

we know that

1feet =12 in

so, we can change feet into in

$L_s=12.5\times 1ft$

$L_s=12.5\times 12in$

$L_s=150in$

For bronze:

we are given length in in

In inch:

$L_b=148in$

In feet:

we know that

$1 in=\frac{1}{12} ft$

so, we get

$L_b=148\times 1in$

$L_b=148\times \frac{1}{12} ft$

$L_b=12.333 ft$

In yard:

we know that

$1 ft=\frac{1}{3} yard$

$L_b=12.333\times 1ft$

$L_b=12.333\times \frac{1}{3} yard$

$L_b=4.111 yard$

So,

largest chain is silver

smallest chain is gold

In yard:

Largest chain is

$L_s=4.1667yd$

Smallest chain is

$L_g=3.5yd$

In feet:

Largest chain is

$L_s=12.5ft$

smallest chain is

$L_g=10.5ft$

In inches:

Largest chain is

$L_s=150in$

Smallest chain is

$L_g=126in$

Differences:

Answer 2

Answer:

See Explanation Below

Step-by-step explanation:

Given

Let the length of chain in gold be represented by L2

Let the length of chain in gold be represented by L2

Let the length of chain in gold be represented by L3

From the table

L1 =3½ yd

To complete the table, we must convert this measurement to other measurements in the table.

First, we convert yard (yd) to feet(ft).

1 yard = 3 feet

If the above statement is true, we can get the measurements of 3½ yd by just multiplying both sides by 3½.

3½ * 1 yard = 3 feet * 3½

3½ yard = 10½ feet

3½ yard = 10.5 feet

Then, we convert to inches

1 yard = 36 inches

If the above statement is true, we can get the measurements of 3½ yd by just multiplying both sides by 3½.

3½ * 1 yard = 36 inches * 3½

3½ yard = 126 inches

We do the same to L2 and L3

From the table

L2 = 12.5 ft

To complete the table, we must convert this measurement to other measurements in the table.

First, we convert feet (ft) to yard (yd).

1 foot = ⅓ yard

If the above statement is true, we can get the measurements of 12.5 ft by just multiplying both sides by 12.5

12.5 * 1 foot = ⅓ yard * 12.5

12.5 feet = 4¹/6 yards

Then, we convert to inches

1 foot = 12 inches

If the above statement is true, we can get the measurements of 12.5 ft by just multiplying both sides by 12.5

12.5 * 1 foot = 12 inches * 12.5

12.5 feet = 150 inches

From the table

L3 =148 inches

To complete the table, we must convert this measurement to other measurements in the table.

First, we convert inch (in) to yard(yd)

1 inch = 1/36 yard

If the above statement is true, we can get the measurements of 148 inches by just multiplying both sides by 148

148 * 1 inch = 1/36 yard *148

148 inches = 4¹/9 yards

Then, we convert to feet

1 inches = ¹/12 foot

If the above statement is true, we can get the measurements of 148 inches by just multiplying both sides by 148

148 * 1 inch = ¹/12 feet * 148

148 inches = 12⅓ feet.

Having gotten to this point, the next step z to bring the values together.

Gold; 3½ yards = 10.5 feet = 126 inches

Silver: 4¹/6 yards = 12.5 feet = 150 inches

Bronze: 4¹/9 yards = 12.3 feet = 148 inches

The shortest chain length is the gold chain and the longest is the silver chains.

Their differences;

In yards:

Difference = 4¹/6 - 3½ -- convert to improper fraction

= 25/6 - 7/2 --- take LCM

= (25 - 21)/6

= 4/6

= ⅔ yards

In feet:

Difference = 12.5 - 10.5

= 2.5 feet

In inches:

Difference = 150 - 126

= 24 inches