question archive A business serves 39 customers with 69 staff to maintain a strong ratio of staff to guests

A business serves 39 customers with 69 staff to maintain a strong ratio of staff to guests

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A business serves 39 customers with 69 staff to maintain a strong ratio of staff to guests. How staff members would be needed if 201 customers are expected? Calculate to the nearest whole number

 

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356 staff members will be needed if 201 customers are expected

Step-by-step explanation

The ratio of customers to staff members is :

39 customers : 69 staff members

 

So we are required to solve how many staff members are needed if there are 201 customers expected

 

In order to solve for this we will be using ratio and proportion.

 

SOLUTION:

 

We let x be the number of staff members needed if there are 201 customers expected

 

39 customers / 69 staff members = 201 customers / x

 

We cross multiply to get rid of denominators:

39x = 69(201)

39x = 13869

 

Then we divide both sides by 39 so that only the x will remain on the left side of the equation

(39x)/39 = (13869)/39

x = 355.615384

 

 

Since we are talking about staff members here,there should be no decimals and only whole number will be used.So we will round it off the 356 staff members.

 

The answer will be:

 

356 staff members will be needed if 201 customers are expected