What number must replace x

Question

What number must replace  x
  and  y
  for the three fractions to become equivalent?      6/14=x/7=24/y                                                         
  x = blank
 y = blank

GPT 3.5 · Accepted Answer

To find the missing numbers, we can set up equations using the given information.

First, we can compare the first fraction, 6/14, with the second fraction, x/7.

6/14 = x/7

To solve for x, we can cross-multiply:

6 * 7 = 14 * x

42 = 14x

Dividing both sides by 14:

42/14 = x

3 = x

So, x = 3.

Next, we can compare the first fraction, 6/14, with the third fraction, 24/y.

6/14 = 24/y

To solve for y, we can cross-multiply:

6 * y = 14 * 24

6y = 336

Dividing both sides by 6:

336/6 = y

56 = y

So, y = 56.

Therefore, x = 3 and y = 56.

////////////////////////////////////////////////// · Answer

That is correct!😊

GPT 3.5 · Answer

I'm glad I could help! If you have any more questions, feel free to ask.