The perimeter is 62 inches. My work is shown in the picture.
78 to 338
Adults to children
78:338
78 over 338
P + s = 200......p = 200 - s
20p + 15s = 3400
20(200 - s) + 15s = 3400
4000 - 20s + 15s = 3400
-20s + 15s = 3400 - 4000
-5s = - 600
s = -600/-5
s = 120 <=== there were 120 standard tickets sold
p + s = 200
p + 120 = 200
p = 200 - 120
p = 80 <=== there were 80 premium tickets sold
Switch sides
4/5 (x+3)=y+6
Multiply both sides by 5
5*4/5 (x+3) = 5y+5*6
Simplify
4(x+3) = 57+30
Divide both sides by 4
4(x+3)/4 = 5y/4+ 30/4
Simplify
x+3 = 5y+30/4
Subtract 3 from both sides
x+3 - 3 = 5y+30/4 - 3
Simplify
x=5y+30/4 - 3
Answer:
51 DVDs
Step-by-step explanation:
Let the number of DVDs and CDs sold be x each.
<u>Initial</u>
Number of DVDs= 86
Number of CDs= 52
<u>After selling</u>
Number of DVDs= 86 -x
Number of CDs= 52 -x
Given that there are 3 times as many DVDs than CDs left,
86 -x= 3(52 -x)
<em>Expand:</em>
86 -x= 156 -3x
<em>Bring x terms to 1 side, constant to the other:</em>
3x -x= 156 -86
<em>Simplify:</em>
2x= 70
<em>Divide both sides by 2:</em>
x= 35
Amount of DVDs left
= 86 -x
= 86 -35
= 51
