Question

PLEASE HELP ASAP OFFERING 10 POINTS

Raymond is buying boxes of party favors for his son's birthday party, He has to decide how many boxes he should purchase.

a formula for this scenario is

Z = FC
      -----
       N

25 children will attend the birthday party. if each child gets 3 party favors and there are 15 favors in each box, how many boxes should Raymond buy?


Z = number of boxes
F = number of favors each child will get
C = number of children at the party
N = number of party favors per box

Answer 1

The answer is: " 5 boxes " .
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Step-by-step explanation:
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Given the formula:
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→ "
`Z = (FC)/(N)` " ;

in which:

Z = number of boxes ; ← for which we shall solve ;

F = number of favors each child will get = " 3 " {given} ;

C = number of children at the party = " 25 " {given} ;

N = number of party favors per box = " 15 " {given} ;
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→ Plug these given values into the formula/equation ;

to solve for: " Z " ; the number of boxes .
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→
`Z  =  (FC)/(N)` ;

→
`Z = (3*25)/(15)` ;

The "3" cancels to a "1" ; and the "15" cancels to "5" ;

→ { since: " 3 ÷ 3 = 1 " ; and since: "15 ÷ 3 = 5 " } ;
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→ And we can rewrite as:


`Z = (1*25)/(5)` ;

→ Note: We change the: "(1 * 25) " (in the "numerator") ; to: " 25 " ;

to simplify; since: "any value", multiplied by "1", results in that same value.


→ As such: "(1 * 25 = 25)" .
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And we can rewrite our equation as:

→
`Z = (25)/(5)` ;

And can further reduce;

→ to solve for our answer, "Z", the "number of boxes"; as follows:

→
`Z = 25 ÷ 5` ;


→ [tex]Z = " 5 " .
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→ The answer is: " 5 boxes " .
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Hope this explanation is helpful!
Please comment if you need further clarification or have any questions.
Best wishes in your academic endeavors!