If 36 cookies calles for a 1/4 tsp then how many would 20 dozen cookies call for?

Question

I'm tutoring my friend in basic math but i was never good with word problems especially using fractions..algebra I can do; this I can not

Answer 1

36 cookies is three dozen, that means that one dozen cookies calls for 1/12 of a tsp, which means 20/12 for 20 dozen, or simplified, 1 3/4 tsp

Answer 2

if 3 dozen cookies is 1/4 then one dozen would be 1/12

so 20 dozen would be 20/12 or 1 and 2/3tsp

Answer 3

Use ratio and proportion:

1/4 tsp. is to 36 cookies as how many tsp., x, is to 240 cookies?:

(1/4) / 36 = x / 240

x = [(1/4)(240)] / 36

x = 60 / 36

x = 5/3

x = 1 ⅔ tsp.

¯¯¯¯¯¯¯¯¯¯¯¯

Answer 4

1 dozen = 12

f(x) = 36 = 1/4 tsp = 3 dozen cookies

1 dozen cookies = (1/4)(1/3) = (1/12) tsp

20 dozen cookies = 20 (1/12 tspn) = (5/3) tsp

The answer is 5/3 tsp = 1 2/3 tsp = 1.67 tsp

Answer 5

It might help to convert 1/4 to decimal.  So .25 (being 1/4) you figure .25/36 = x/240 (20 doz). Cross multiply and you get .25(240)=36x. You get 60 = 36x. Divide both sides by 36 to isolate x and you come up with 1.6666 or 1 2/3 tsp. Good luck and God bless.

Answer 6

well if 36 cookies bakes 1/4. which is 3 dozen.

divide 20 dozen by 3 and multiply by 1/4.

you should get 1.6666666...

Answer 7

oops, my bad: misread the problem!

36 / 12 = 3 dozen cookies

now we have a ratio:

"known" / 3 dozen = "unknown" / 20 dozen, where known = 1/4

(1/4) / 3 = x / 20

multiply both sides by 20

20(1/4) / 3 = x

since 20(1/4) = 5, that means that x = 5/3

you'll need 5/3 = 1 2/3 tsp for 20 dozen

another way to think about it:

you'll need (20/3) as much for 20 dozen as you did for 3 dozen

(20/3) ( 1/4) = 5/3 = 1 2/3