A hotel manager is making identical hospitality bags for guests using 75 soap bars 45 bottles of lotion and 65 bottles of shampoo what is the greatest number of identical hospitality bags the manager can make with the least amount of items left over

Answer:

The greatest number of identical hospitality bags the manager can make is 5

With each bag containing:

15 soap bars

9 bottles of lotion

13 bottles of shampoo

Step-by-step explanation:

We solve this question using Greatest Common Factor Method

We find the factors of 45, 65 and 75

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 65 are: 1, 5, 13, 65

The factors of 75 are: 1, 3, 5, 15, 25, 75

Then the greatest common factor is 5.

Therefore, the greatest number of identical hospitality bags the manager can make is 5

And each bag would contain

For soap bars

75 soap bars/ 5 hospitality bags

= 15 soap bars

For bottles of lotion

45 bottles of lotion / 5 hospitality bags = 9 bottles of lotion

For bottles of shampoo

65 bottles of shampoo/5 hospitality bags

= 13 bottles of shampoo

6 0

3 years ago

G = 7 h = 5 Work out the value of 3g + 2h

Sedbober [7]

Answer:31

Step-by-step explanation:

Plug in your numbers

3(7) + 2(5) = 31

7 0

4 years ago

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

Verdich [7]

Answer:

length and width=4

height=8

Step-by-step explanation:

Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.

Ecuation 1

Leght=Width

.L=W

Ecuation 2

To raise the second equation we consider that the length and width of 4 inches less than the height of the box

H-4=W

Ecuation 3

To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height

LxWxH=128

From ecuation 1(w=h)

$HW^2=128$

solving for H

$H=\frac{128}{W^2}$

Using ecuation 2

H-4=W

$\frac{128}{W^2}-4=W\\W^3+4W^2-128=0$

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4

W=4in

L=4in

to find the height we use the ecuation 2

H-4=W

H=4+W

H=4+4=8

H=8IN

7 0

3 years ago