Question

Kade has $45 in savings and wants to purchase a video game console for $250. He has a coupon for 10% off, and sales tax is 8.25%. In order to be financially responsible, Kade wants to wait until he has enough in savings to not have to borrow money. If Kade is able to save $45 each week, what is the minimum number of weeks Kade should save before making his purchase?

Answer 1

5 weeks

Explanation:

First, solve for the total cost of the game console after tax and a coupon

Solve for tax:

$250 × 8.25%

Convert percentage into a decimal

250 × 0.0825

20.625

Round up to nearest hundredths place (because the unit is dollars)

20.63

Add this tax onto the original cost

250 + 20.63

270.63

Subtract the coupon from the total

270.63 - 10

260.63

Total cost is $260.63

Now let's find how much Kade needs to save so set up an equation

Variable x = number of weeks

45 + 45x = 260.63

Subtract 45 from both sides to isolate the variable

45x = 215.63

Divide both sides by 45

x = 4.791777...

Round up to nearest whole number (because units are weeks)

x = 5 weeks