Final answer:
Patrick will have to borrow $282.75 to buy the $750 speaker on sale for 30% off after adding 5% GST and 6% PST to the sale price and subtracting his $300 savings.
Step-by-step explanation:
Patrick is looking to buy a new speaker that originally costs $750 but is on sale for 30% off. First, we calculate the sale price:
$750 - (0.30 × $750) = $750 - $225 = $525
Now we add the GST and PST:
GST (5%): $525 × 0.05 = $26.25
PST (6%): $525 × 0.06 = $31.50
Adding these taxes to the sale price, we get:
$525 + $26.25 + $31.50 = $582.75 as the total cost.
Patrick has $300, so he needs to borrow:
$582.75 - $300 = $282.75
Therefore, Patrick will have to borrow $282.75 to purchase the speaker.