Ethan writes the ratio x/10=y/20 to help him reduce the

size of a two-dimensional shape. If the new value of y is 7 units, what will be the value of x?

1 answer

To find the value of x, we first need to solve the given ratio x/10 = y/20 for y.

Cross multiplying, we get:
x * 20 = 10 * y
20x = 10y
y = 2x

Now that we know y is 7 units, we can substitute this value back into the equation:
7 = 2x

Dividing both sides by 2, we get:
x = 7/2
x = 3.5 units

Therefore, the value of x is 3.5 units.