Mr.Johnson imported some cartons of noodles. There were 28 packages of noodles in each carton.he sold 10 packages of noodles for $5 if he received $280 from the sale of noodles.How many cartons of noodles did he sell?

Respuesta :

Mr.Johnson sold 20 cartons of noodles.

SOLUTION:

Given, Mr. Johnson imported some cartons of noodles.  There were 28 packages of noodles in each carton.

He then sold 10 packages of noodles for [tex]\$5[/tex]  

He received [tex]\$280[/tex] from the sale of noodles.

Now, we know that,  for [tex]\$5 \rightarrow 10[/tex] noodles packages

Then, for [tex]\$280 \rightarrow[/tex] (let it be) n noodles packages

So, by criss cross method, [tex]n \times 5=10 \times 280 \rightarrow n=2 \times 280 \rightarrow n=560[/tex]

Therefore, he sold 560 noodle packages.

Now, we know that, 28 packages [tex]\rightarrow[/tex] 1 carton

Then, 560 packages [tex]\rightarrow[/tex] (let it be ) m cartons

So, by criss cross method, [tex]m \times 28=1 \times 560 \rightarrow m=20[/tex]  

Hence, he sold 20 cartons.