A truck is carrying orange juice cherry juice and cranberry juice bottles in a ratio of 1:2:5. If there are 30 cherry juice bottles, then how many cranberry juice bottles are there?

1:2:5

?:30:?
15:30:75 check that.

Sense the ratio is 1:2:5 and the 2nd ratio is 30 you devide 30 then multiply the new number by 5.

You divide 2 into 30 and find that it is a factor of 15.

Multiply 1 times 15
and 5 times 15

so 15:30:75

To check your work divide each part by 15 and you should be back to the 1:2:5

To find the number of cranberry juice bottles, we can use the ratio provided.

The ratio of cherry juice bottles to cranberry juice bottles is 2:5. We know that there are 30 cherry juice bottles, so we can set up a proportion to find the number of cranberry juice bottles.

Let x be the number of cranberry juice bottles.

The proportion can be written as:

2/5 = 30/x

To solve for x, we can cross-multiply:

2x = 5 * 30

2x = 150

Divide both sides by 2 to isolate x:

x = 150/2

x = 75

Therefore, there are 75 cranberry juice bottles in the truck.