Question

A model plane has a scale of 1 in: 6 yd. If

the model plane is 3 in tall then how tall is
the real plane?

Answer 1

The model is 3 inches tall. The ratio is 1 inch: 6 yards, and 1 times 3 is 3, and 3 times 6 is 18. The real plane is 18 yards tall.

Answer 2

18 yards

Explanation:

Let's set up a proportion using the following setup.

inches / yards = inches / yards

We know the scale is 1 inch to 6 yards.

1 inch / 6 yards = inches / yards

We know the model plane is 3 inches tall, but we don't know how tall the real plane is. Therefore, we can it is 3 inches to x yards.

1 inch / 6 yards= 3 inches / x yards

1 /6= 3/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

1*x= 6*3

1x= 6*3

x= 6*3

x=18

x= 18 yards

The real plane is 18 yards.