Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.
Step-by-step explanation:
The given equation is:
12x + 15y = 4140 .....(1)
Where,
x stands for $12 tickets and y stands for $15 tickets
According to the question:
x + y = 300 ....(2)
Now solving equation 1 and 2.
From equation 2:
x = 300 - y
Now putting this expression in equation 1.
12x + 15y = 4140
12(300 - y) + 15y = 4140
3600 - 12y + 15y = 4140
3600 + 3y = 4140
3y = 4140 - 3600
3y = 540
y = 180
And,
x = 300 - y = 300 - 180 = 120
The number of $12 tickets sold = x = 120
The number of $15 tickets sold = y = 180
Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.
First, solve the parentheses:
Next, the exponential terms
Solve the multiplication:
Add and subtract:
Kiran earns $8.50 per hour.
Let x represent Kiran's pay. He worked 23 hours last week, so his pay would be given by 23x.
Kiran's cousin is paid 30% more. 30% = 30/100 = 0.3. We add this to the x per hour that Kiran is paid:
x + 0.3x = 1.3x
This is multiplied by 27, since Kiran's cousin works 27 hours:
27(1.3x)
This gives us the following equation:
23x + 27(1.3x) = 493.85
23x + 35.1x = 493.85
58.1x = 493.85
Divide both sides by 58.1:
58.1x/58.1 = 493.85/58.1
x = 8.5
Thus Kiran earns 8.50 per hour.
Answer:
Step-by-step explanation:
Given the expression
Thus,
