Answer:
71
Step-by-step explanation:
Uhhhhh so you owe 2 dollars to this dud and you have 73 bucks and you take away two
For example a stands for the number of adult tickets, and s stands for the number of student tickets.
Write a system of equation based on the problem
An equation for "<span>A total of 679 tickets were sold for the school play"
</span>∴ a + s = 679 <em>(first equation)</em>
An equation for "<span>there were 71 fewer student tickets sold than adult tickets"
</span>∴ s = a - 71 <em>(second equation)</em>
<span>
Find the solution of the system
Subtitute s with a - 71 in the first equation to find the value of a
a + s = 679
a + a - 71 = 679
2a - 71 = 679
2a = 679 + 71
2a = 750
a = 750/2
a = 375
The number of adult tickets sold is 375</span>
Answer:
c 82
Step-by-step explanation:
because I smart person
So it wants you to write two equations, one for the number of fruit and another for the money spent. gather your important information first:
20 fruits for $11.50
apples cost $0.50
bananas cost $0.75
let's do the cost equation first. it's $0.50 per apple, so 0.50a, and $0.75 per banana, so 0.75b. the total cost is $11.50. put all of this information together:
0.50a + 0.75b = 11.50 ... so, the cost of apples bought plus the cost of bananas bought equals 11.50
note what your variables stand for. a represents the number of apples, b represents the number of bananas. to write an equation for how many fruits bought, you simply have to add these two and set them equal to 20 (the total number of fruits bought).
a + b = 20
and your other equation
0.50a + 0.75b = 11.50
these are your two equations. to solve the system of equations, you first want to get one variable alone; the first equation will be easier.
a + b = 20
a = 20 - b
now take this equation and plug it into the second equation.
0.50(20 - b) + 0.75b = 11.50 ... you'll notice that you only have one variable left: b. solve for it. the first step is to distribute 0.50 to the parentheses
10 - 0.50b + 0.75b = 11.50 ... combine like terms
10 + 0.25b = 11.50 ... subtract 10
0.25b = 1.5 ... divide by 0.25
b = 6
6 bananas were purchased. plug this back into an equation to find out how many apples were purchased.
a + 6 = 20 ... subtract 6
a = 14
14 apples and 6 bananas were bought.
Answer:
if the diagonals of a parallelogram are congruent, then it's a rectangle (neither the reverse of the definition nor the converse of a property). If a parallelogram contains a right angle, then it's a rectangle (neither the reverse of the definition nor the converse of a property).
Step-by-step explanation:
