Answer:
The purchase price is $180
The total price is: $189
Step-by-step explanation:
Sales tax rate = 5\%
Sales tax on bike = $9
We need to find the purchase price.
Let purchase price = x
We know that Sales tax = 5% of x
and Total price = Purchase Price + Sales tax
So, we can write:
Sales tax = 5% of x
Putting values and finding x

So, the value of x i.e Purchase price = $180
The purchase price is $180
Now finding the total price of bicycle
Total price = Purchase Price + Sales tax
Total price = 180 + 9
Total price = $189
So, The total price is: $189
Answer: An adult’s ticket costs $9 while a children’s ticket costs $5.
Step-by-step explanation:
1). 2x + 3y = 33
2). 5x + 2y = 55
3). I’m going to use substitution.
Isolate a variable (x):
2x + 3y = 33
2x = -3y + 33
X = (-3y + 33)/2
X = -3/2y + 33/2
Substitute and solve for y:
5x + 2y = 55
5(-3/2y + 33/2) + 2y = 55
-15/2y + 165/2 + 2y = 55
-11/2y = -55/2
Y = 5 <— children’s ticket.
Solve for x:
2x + 3y = 33
2x + 3(5) = 33
2x + 15 = 33
2x = 18
X = 9 <— adult’s ticket.
Check:
5x + 2y = 55
5(9) + 2(5) = 55
45 + 10 = 55
55 = 55
2x + 3y = 33
2(9) + 3(5) = 33
18 + 15 = 33
33 = 33
When Brooks painted more he used 6/12 of what was left(1/2 of what was left)