Question

Each 1/2 inch on a scale model represents an actual length of 1/6 of a yard.

What length on the model represents 1 yard?


1 1/2 inch

2/3 inches

2 inches

3 inches

Answer 1

• 1/2 inch represents 1/6yard

1 yard represent:

• 1/2/(1/6)
• 1/2(6)
• 3in

Answer 2

3 inches

Explanation:

Hello!
We can set up a proportion:
`((1)/(2))/(\frac16)} = (x)/(1)`

(Check the last answer for information on setting up proportions)

Solve:

• Cross multiply the terms:
  1/2 = 1/6x
• Multiply both sides by 6 to remove the unit rate:
  1/2 * 6 = 1x
• Simplify:
  3 = x

1 yard in real life is 3 inches on the model.