Question

An engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards. What is the length of the model?

Answer 1

16.6666666667

To solve the problem, do 50 divided by 3. This will give you how many inches the model is.

Answer 2

`16(2)/(3)\approx 16.67` inches.

Explanation:

We have been given that an engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards.

To find the length of the model, we will use proportions as:

`\frac{\text{Length of model}}{\text{Actual length}}=\frac{1\text{ inch}}{\text{3 yards}}`

`\frac{\text{Length of model}}{50\text{ yards}}=\frac{1\text{ inch}}{\text{3 yards}}`

`\frac{\text{Length of model}}{50\text{ yards}}*50\text{ yards}=\frac{1\text{ inch}}{\text{3 yards}}*50\text{ yards}`

`\text{Length of model}=(50)/(3)\text{ inch}`

`\text{Length of model}=16(2)/(3)\text{ inch}`

Therefore, the length of model is
`16(2)/(3)\approx 16.67` inches.