The only items in a container A are 150 pencils and 725 pens. The ratio of the number of pencils to the number of pens in container B is 2 to 3. If all the pencils and pens in container B are placed in container A, then the ratio of the number of pencils to the number of pens in container A would be 3 to 5. What is the total number of pencils and pens in both container A and container B?

Therefore total number of pencils and pens in container A is 875.

Therefore total number of pencils and pens in container B is 7125.

Step-by-step explanation:

Given that,

Container A contains 150 pencils and 725 pens.

The ratio of number of the number of pencil to the number of pen in container B is 2:3.

Let the number of pencil and number of pencil in container B be 2x and 3x respectively.

Since all pencils and pen of container B are placed in container A.

So, the number pencil and pen in container A is (150+2x) and (725+3x) respectively.

Now the ratio of pencil to pen is

According to the problem,

The number pencils in container B is = 2x

                                                             =(2×1475)

                                                             =2850

The number of pens in container B is = 3x

                                                             =(3×1475)

                                                             =4425

Therefore total number of pencils and pens in container A is =(150+725)

                                                                                                          =875

Therefore total number of pencils and pens in container B is

=(2850+4425)

=7,125

answer: 1, 3 and 5 are correct

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl