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Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 115 tickets totaled $678. Find the number of adult tickets sold?

 

 

A silversmith combined pure silver that cost $31.48 per ounce with 50 oz of a silver alloy that cost $22.35 per ounce. How many ounces of pure silver were used to make an alloy of silver costing $25.98 per ounce?

 

 

Find the cost per ounce of a sunscreen made from 140 oz of lotion that cost $3.44 per ounce and 90 oz of lotion that cost $11.03 per ounce. 
-$ per ounce ?

 Jan 12, 2017
 #1
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Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 115 tickets totaled $678. Find the number of adult tickets sold?

 

Let the number of adult tickets=A

Let the number of children tickets =C

 

A+C =115

7.50A+3C =678, solve for A, C 

A =74 tickets

C =41 tickets.

 Jan 12, 2017
 #2
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1.  x = adult tix     revenue from adult tix = $ 7.5x

     (115-x) = kidz tix  revenue from kidx = $3.00(115-x)    

the revenues from BOTH tix added together = $ 678

7.5x + 3 (115-x) = 678

4.5x = 678-345

4.5x =333

x= adult tix = 74

 

 

2.   Pure silver amount  = x    x(31.48) =  cost of pure silver

      Alloy = 50 oz       50(22.35) = cost of alloyT

The two costs added together =  (x+50)(25.98)

31.48 x + 50(22.35) = (x+50)(25.98)

31,48 x + 1117 .5 = 25.98x + 1299

5.5x = 181.5

x= amount of pure silver = 33 ounces

 

3....similar to 2....let me know if you need more help....

 Jan 12, 2017

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