The ratio of blue cars to red cars in a garage is 9:7. If there are 49 red cars in the garage then how many blue cars must be in the garage?

Blue cars, B = 63 cars

Step-by-step explanation:

Let the blue cars be B.

Let the red cars be R.

Given the following data;

Ratio of B:R = 9:7 = 9 + 7 = 16

Red cars, R = 49

To find the number of blue cars;

First of all, we would determine the total number of cars using the expression;

R = 7/16 * x = 49

7x = 49 * 16

7x = 784

x = 112 cars

Now, we can find the number of blue cars;

B = 9/16 * 112

B = 1008/16

Blue cars, B = 63 cars

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.