You and a classmate have a bug collection for science class. you find 5 out of every 9 bugs in the collection. you find 4 more bugs than your classmate. how many bugs are in the collection?

36

Step-by-step explanation:

In this collection, we learn that the ratio of bugs you found to bugs your classmate found is 5:4. A ratio is a mathematical expression that indicates the number of times that one value contains another one. Moreover, we also learn that you found 4 more bugs than your classmate. If we are to maintain the same ratio, we need to multiply both numbers by the same factor. The only option that fulfills these characteristics is 20:16. This means that there are 36 bugs in the collection.

what are the options? ?

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional