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*

We are given chains
For Gold:
we are given length in yard
[tex]L_g=3\frac{1}{2}yd[/tex]
we can simplify it
[tex]L_g=3+\frac{1}{2}yd[/tex]
[tex]L_g=3.5yd[/tex]
In feet:
we can change in feet
we know that
1 yard =3 feet
[tex]L_g=3.5\times 1yd[/tex]
[tex]L_g=3.5\times 3ft[/tex]
[tex]L_g=10.5ft[/tex]
In inch:
we know that
1 feet =12inch
[tex]L_g=10.5\times 1ft[/tex]
[tex]L_g=10.5\times 12in[/tex]
[tex]L_g=126in[/tex]
For Silver:
we are given length in feet
so,
In feet:
[tex]L_s=12.5ft[/tex]
In yard:
[tex]1 ft=\frac{1}{3} yd[/tex]
so, we can change feet into yard
[tex]L_s=12.5\times 1ft[/tex]
[tex]L_s=12.5\times \frac{1}{3} yd[/tex]
[tex]L_s=4.1667yd[/tex]
In inch:
we know that
1feet =12 in
so, we can change feet into in
[tex]L_s=12.5\times 1ft[/tex]
[tex]L_s=12.5\times 12in[/tex]
[tex]L_s=150in[/tex]
For bronze:
we are given length in in
In inch:
[tex]L_b=148in[/tex]
In feet:
we know that
[tex]1 in=\frac{1}{12} ft[/tex]
so, we get
[tex]L_b=148\times 1in[/tex]
[tex]L_b=148\times \frac{1}{12} ft[/tex]
[tex]L_b=12.333 ft[/tex]
In yard:
we know that
[tex]1 ft=\frac{1}{3} yard[/tex]
[tex]L_b=12.333\times 1ft[/tex]
[tex]L_b=12.333\times \frac{1}{3} yard[/tex]
[tex]L_b=4.111 yard[/tex]
So,
largest chain is silver
smallest chain is gold
In yard:
Largest chain is
[tex]L_s=4.1667yd[/tex]
Smallest chain is
[tex]L_g=3.5yd[/tex]
In feet:
Largest chain is
[tex]L_s=12.5ft[/tex]
smallest chain is
[tex]L_g=10.5ft[/tex]
In inches:
Largest chain is
[tex]L_s=150in[/tex]
Smallest chain is
[tex]L_g=126in[/tex]
Differences:
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