We want to determine which store is offering the better deal on a tennis racket. Let's find the sale price of the tennis racket at each store, starting with Sport City. We can find the dollar amount of the discount at this store using the percent equation.
part = percent * whole
We are given that the tennis racket at Sport City costs $ 180 and is discounted 15 %. Let s represent the dollar amount of the discount.
s = 15 % * $ 180
We need to write the percent as a decimal before we can solve the equation that we created. We can do this by ignoring the percent symbol and moving the decimal point two places to the left.
Therefore, 15 % is equal to 0.15.
s = 15 % * $ 180 [0.3em] ⇓ [0.3em]
s = 0.15 * $ 180
Now we can solve the equation for s. For simplicity, we will ignore the units for now
We got that s= 27 is a solution to the equation. This means that the dollar amount of the discount is $ 27. Now we can calculate the sale price of the racket at Sport City by subtracting $ 27 from the regular price.
$180 - $ 27 = $ 153
The sale price of the racket at Sport City is $ 153. Next, let's find the sale price of the racket at Tennis World. We know that the racket costs $ 200 at Tennis World and is on sale for 20 % off. Let r represent the dollar amount of the discount.
part = percent * whole
⇓
r = 20 % * $ 200
Like we did before, we can write the percent as a decimal by ignoring the percent symbol and moving the decimal point two places to the left.
r = 20 % * $ 200 [0.3em] ⇓ [0.3em]
r = 0.2 * $ 200
Now we can solve the equation for r.
We got that the dollar amount of the discount is $ 40. Let's calculate the sale price of the racket by subtracting $ 40 from the regular price.
$200 - $ 40 = $ 160
The sale price of the racket at Tennis World is $ 160. Now we can compare the sale prices.
ccc
Sport& &Tennis
City& &World [0.4em]
$ 153 & < & $ 160
Sport City is offering the better deal because they are selling the racket at a lower price.
