Question

350 boxes can be placed in 25 cartones. How many boxes can be placed in 16 cartons?​

Answer 1

Answer:

244 boxes

Step-by-step explanation:

350:(divided)25=14

14X16=244 boxes

Answer 2

Question:

If 350 boxes can be placed in 25 cartons, then how many boxes can be placed in 16 cartons?

_____________________________

Solution:

We can solve the given questions by two methods. The two methods are described below.

_____________________________

Method - 1:

We are given that,

• 25 cartons can hold 350 boxes.

To find,

• How many boxes can be placed in 16 cartons?

Here, we will use the concept direct proportion.

$\mathfrak {Why\ direct\ proportion?}$

We use direct proportion when the increase or decrease in one quantity results in the increase or decrease of the other quantity simultaneously.

Here, as we have 25 cartons, they can hold many boxes (350). But as the number of cartons decreases, that is, if we have only 16 cartons, then they will hold lesser number of boxes.

Solution:

Refer to the attachment for the table.

We know that for direct proportion,

$\sf \dfrac {X_{1}}{Y_{1}} = \dfrac {X_{2}}{Y_{2}}$

Substitute the values,

$\sf \dfrac {25}{350} = \dfrac {16}{Y_{2}}$

$\sf \dfrac {1}{14} = \dfrac {16}{Y_{2}}$

☆Cross multiplication

$\sf 14 \times 16 = {Y_{2}}$

$\boxed {\bf {\orange {224\ boxes = Y_{2}}}}$

_____________________________

Method - 2:

We can also use unitary method to solve this question.

Number of boxes 25 cartons can hold = 350

Number of boxes 1 carton can hold = $\sf \dfrac {350}{25}$

= 14 boxes

Number of boxes 16 cartons can hold = 14×16

= 224 boxes

_____________________________

Final answer:

Hence, we have got the required answer from both the methods. That is,

16 cartons can hold 224 boxes.