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

Answer:

$16\frac{2}{3}\approx 16.67$ inches.

Step-by-step 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:

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

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

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

$\text{Length of model}=\frac{50}{3}\text{ inch}$

$\text{Length of model}=16\frac{2}{3}\text{ inch}$

Therefore, the length of model is $16\frac{2}{3}\approx 16.67$ inches.

Answer 2

16.6666666667 
 
To solve the problem, do 50 divided by 3. This will give you how many inches the model is.