Question

A fish recipe suggests that for every 3/4 of an inch of thickness, the fish should be cooked for 7 1/2 minutes. If a sea bass steak is 2 1/3 inches tick, how long should it be cooked?

Answer 1

This actually isn't that hard, I just got kind of confused when reading it

Answer 2

And now I'm lost

Can someone help please?

Answer 3

Divide 2 1/3 by 3/4 first.

Answer 4

@marihelenh In fraction form or decimal?

Answer 5

Fraction will make it much easier

Answer 6

\(\large \frac{\text{thickness}}{\text{minutes}} = \frac{\text{thickness}}{\text{minutes}}\)

set up a proportion

Answer 7

Ermmm... I believe it's uh, somewhere near 3 and 1/ 9?

Answer 8

Yes, that is correct. That is also written 29/9.

Answer 9

right

Answer 10

in improper form

Answer 11

Now multiply 3 1/9 and 7 1/2.

Answer 12

I don't really see where ur going with this but...

23 and 1/3 According to the calculator

Answer 13

@marihelenh ?

Answer 14

You can think of this problem two ways.
1. use unit rate
2. use proportion

Answer 15

\[\large \frac{ \frac{ 3 }{ 4 } }{ \frac{ 15 }{ 2 } } = \frac{ \frac{ 7 }{ 3 } }{ x }\]
\[\frac{ 15 }{ 2 } \times \frac{ 7 }{ 3 } = \frac{ 35 }{ 2 }\]
\[\frac{ 35 }{ 2 }=\frac{ 3 }{ 4 }x \rightarrow \frac{ 35 }{ 2 } \times \frac{ 4 }{ 3 } = \frac{ 70 }{ 3} = 23\frac{ 1 }{ 3 }\]

Answer 16

Yes. That is the time. You multiplied the thickness by the time for a unit of thickness. What is 1/3 of a minute? How many seconds?

Answer 17

\(x = 23\frac{1}{3}\)

i guess it's \(23\frac{1}{3} \text{minutes}\)

Answer 18

Umm, how would I calculate 1/3 of a minute?

Answer 19

There are 60 seconds in a minute. 1/3 times 60 is...?

Answer 20

1. unit rate
Each 3/4 in of thickness needs 7.5 minutes.
2 1/3 minutes is how many times 3/4 inch?
We divide 2 1/3 by 3/4 to find how many times it is 3/4 inches.
The answer is 3 1/3.
Since 2 1/3 is the same as 3 1/3 times 3/4 inch, then you need 7 1/2 minutes for each 3/4 inch, so you need 3 1/3 times 7 1/2

2. proportion

\(\dfrac{3/4~inch}{7 ~1/2 ~min} = \dfrac{2~ 1/3 ~inch}{x} \)

\(3/4 x = (2 1/3)(7 1/2)\)

\(x = 23 ~1/3~min\)

Answer 21

look at both @mathstudent55 's and my work and you should be off fine :) we both have the same approach (proportions)

Answer 22

for these types of questions, i suggest you to use proportions as they can be very helpful :)

Answer 23

Sorry I had to go.

Thanks for all your help everyone!