Regal theater sold 321 adult tickets and 227 children tickets.
Step-by-step explanation:
Given,
Cost of each adult ticket = $6.50
Cost of each child's ticket = $3.50
Total tickets sold = 548
Total worth of sold tickets = $2881
Let,
x represent the number of adult tickets sold
y represent the number of child tickets sold
According to given statement;
x+y=548 Eqn 1
6.50x+3.50y=2881 Eqn 2
Multiplying Eqn 1 by 6.50

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 3

Putting y=227 in Eqn 1

Regal theater sold 321 adult tickets and 227 children tickets.
Keywords: linear equation, elimination method
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-4. 5 is the answer to your prollem
The answer is D. Because the negatives cancel out and equal a positive. therefore -1-(-7) =-1+7
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Define jam and bread mix
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Let the number of jar of jam be x
Let the number of packages of bread mix be y
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Form equations and solve
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x + y = 8 --------------------- (1)
6x + 5y = 45 ---------------- (2)
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Rewrite equation to make x the subject
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x+ y = 8
x = 8 - y ----------------------------(1a)
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Substitute (1a) into (2)
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6(8 - y) + 5y = 45
48 - 6y + 5y = 45
y = 48 - 45
y = 3
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Substitute y = 3 into (1) to find x
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x + 3 = 8
x = 8 - 3
x = 5
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Find jam and bread mix
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Jars of Jam = x = 5
Packages of bread mix = y = 3
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Answer: Jam = 5 ; bread mix = 3
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Answer:
Missing same value is 0.02
Step-by-step explanation:
Instead of multiplying big decimal numbers we put short cut by making 0.98 as a difference of near integer and one decimal.
i.e 0.98 =1-0.02
Since 0.02 is the same for other also other term
0.73 = 0.75-0.02
Now product can be done very easily.
Steps are shown below:
0.98x0.73
= (1-0.02) (0.75-0.02)
= 0.75 -0.02(1+0.75)+0.0004
= 0.7504-(0.035)
= 0.7154
=0.44