What number must replace x and y for the three fractions to become equivalent?
6/14 = x/7 = 24/y
(1 point)
x = _, y = _
To make the three fractions equivalent, we need to find the same ratio of x and y as the ratio of 6 to 14 and 24 to 7.
To find x, we can set up a proportion using the first two fractions:
6/14 = x/7
Cross-multiplying, we have:
6 * 7 = 14 * x
42 = 14x
Dividing both sides by 14, we get:
x = 42/14
x = 3
To find y, we can set up a proportion using the second and third fractions:
x/7 = 24/y
Cross-multiplying, we have:
x * y = 24 * 7
3 * y = 168
Dividing both sides by 3, we get:
y = 168/3
y = 56
So, x = 3 and y = 56.