Let's say x = full price tickets
Let's say y = student tickets
We can write two equations:
From "585 tickets were sold" we can make the equation:
x + y = 585
And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:
2.50x + 1.75y = 1,217.25
So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.
x + y = 585
x + y - y = 585 - y
x = 585 - y
Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25
Distribute your 2.50
1462.5 - 2.50y + 1.75y = 1217.25
Add the y's: 1462.5 - 0.75y = 1217.25
Subtract 1462.5 from both sides:
1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5
-0.75y = -245.25
Divide both sides by -0.75:
y = -245.25/-0.75
y = 327
There were 327 student tickets :)
Answer:
A $10 deposit followed by a $60 withdrawal
Step-by-step explanation:
The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.
If it flies at a rate of feet per hour, then it will will travel a foot per hour
Step-by-step explanation:
A. part 1: $1.49 for 6 pencils
1 pencil would cost $1.49 / 6 = $0.24833(5s.f.) = $0.25 (nearest cent)
part 2: $4.60 for 20 pencils
1 pencil would cost $4.60 / 20 = $0.23
best value: part 2 (20pencil pack)
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