1. A premium box ticket at the Canucks game is $60 more than the low section next to the glass. The middle section is $90 less than the box section. The total for these three seats is $360. How much does each seat cost? Use algebra.
2. A house is being renovated for $50,000. Right now the HST is 12% and is charged on all renovations. After April the HST will be gone and be replaced with PST of 7% and the GST of 6%. Renovations will only have to charge GST. How much money will the homeowner save if they wait until April to get the renovations done?
Please help , thanks:)
ticket next to glass ---- x
premium box ------- x + 60
middle section ----- x+60 - 90 = x-30
x + x+60 + x-30 = 360
3x = 300
x = 100
next to glass = 100
premiusm box = 160
middle section = 70
WOW!
compare 12% vs 13% of 50000
or why not just take the 1% difference , which is $500
Thanks for #1 but i still don't get #2 can u help again
1. Let's assume the cost of the low section next to the glass is x dollars.
According to the given information, the premium box ticket at the Canucks game is $60 more than the low section next to the glass. That means the cost of the premium box ticket is x + $60.
The middle section is $90 less than the box section, so the cost of the middle section is (x + $60) - $90, which simplifies to x - $30.
The total cost for these three seats is $360. Therefore, the equation we can create is:
x + (x + $60) + (x - $30) = $360
Now, let's solve this equation to find the value of x, which represents the cost of the low section next to the glass.
Combining like terms, the equation becomes:
3x + $30 = $360
Subtracting $30 from both sides, we have:
3x = $330
Dividing both sides by 3, we find:
x = $110
So, the cost of the low section next to the glass is $110.
Now, you can substitute this value back into the expressions to find the cost of the premium box ticket and the middle section:
Cost of premium box ticket = $110 + $60 = $170
Cost of middle section = $110 - $30 = $80
Therefore, the cost of each seat is as follows:
Low section next to the glass: $110
Premium box ticket: $170
Middle section: $80
2. To calculate the savings, we need to find the difference in the amount of taxes paid under the current HST system and the upcoming PST-GST system.
Currently, with the HST rate of 12%, the taxes on the renovation cost would be:
12% of $50,000 = 0.12 * $50,000 = $6,000
After April, with the PST rate of 7% and the GST rate of 6%, only the GST will be charged on renovations. Therefore, the taxes on the renovation cost would be:
6% of $50,000 = 0.06 * $50,000 = $3,000
To calculate the savings, we need to find the difference between the two amounts:
Savings = taxes with HST - taxes with PST-GST
= $6,000 - $3,000
= $3,000
Therefore, the homeowner would save $3,000 if they wait until April to get the renovations done.