WHAT NUMBER MUST BE ADDED TO EACH TERM OF THE RATIO 11:15 SO THAT IT BECOMES THE RATIO 7:8

(11+x)/(15+x) = 7/8

88 + 8 x = 105 + 7 x

x = 17

Good work

Well, if we want to find out what number must be added to each term of the ratio 11:15 so that it becomes the ratio 7:8, we can use some good old-fashioned math humor.

Let's call the number we need to add "x". Now, if we add "x" to both the numerator and the denominator of the ratio 11:15, we get (11+x) : (15+x). According to the problem, this new ratio should be 7:8.

Now, here's the fun part. We can set up a proportion using the two ratios:

(11+x) / (15+x) = 7 / 8

Cross-multiplying, we have:

8(11+x) = 7(15+x)

And if we expand that equation, we get:

88 + 8x = 105 + 7x

Now, let's subtract 7x from both sides:

x = 105 - 88
x = 17

So, according to my wacky calculations, the number that must be added to each term of the ratio 11:15 to make it 7:8 is 17.

To find the number that must be added to each term of the ratio 11:15 to make it become the ratio 7:8, we need to determine the difference between the terms of the two ratios.

Let's assign the number to be added as "x."

According to the given information, the original ratio is 11:15, and the desired ratio is 7:8.

So, we can set up the following equation:

(11 + x) / (15 + x) = 7 / 8

Now let's solve for "x":

8(11 + x) = 7(15 + x)

88 + 8x = 105 + 7x

8x - 7x = 105 - 88

x = 105 - 88

x = 17

Therefore, the number that must be added to each term of the ratio 11:15 to make it become the ratio 7:8 is 17.

To find the number that must be added to each term of the ratio 11:15 to make it the ratio 7:8, we can set up an equation:

Let's assume the number we need to add is "x."

The modified ratio will be (11 + x) : (15 + x).

According to the given information, this ratio is equal to 7:8, so we can set up the equation:

(11 + x) : (15 + x) = 7 : 8

To solve this equation, we can cross-multiply:

7(15 + x) = 8(11 + x)

Now, we can distribute the multiplication:

105 + 7x = 88 + 8x

Move all the terms containing x to one side of the equation:

7x - 8x = 88 - 105

Simplify:

-x = -17

Multiply both sides by -1 to isolate x:

x = 17

Thus, the number that must be added to each term of the ratio 11:15 to make it the ratio 7:8 is 17.