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 ?
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.
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....