Julie buys a sweater that is on sale for 20% less than the original price. She also uses an additional $10 off coupon. If she ends up paying $30 in cash, what was the original price?
a.30
b.45
c.48
d.50
Let's represent the original price of the sweater as "x".
We know that the sweater is on sale for 20% less than the original price, so the sale price would be (100% - 20%) of the original price:
Sale price = x - 0.2x = 0.8x
Next, Julie uses an additional $10 off coupon, which means she pays the sale price minus $10:
0.8x - $10 = $30
To solve for x, we can add $10 to both sides of the equation:
0.8x = $40
Finally, we can divide both sides of the equation by 0.8 to find the original price:
x = $50
Therefore, the original price of the sweater was $50.
Option (d) is the correct answer.
To find the original price of the sweater, we will first calculate the price of the sweater after the 20% discount, and then subtract the additional $10 off coupon from that price.
Let's assume the original price of the sweater is represented by x.
Since Julie buys the sweater with a 20% discount, she pays 80% of the original price. This can be represented as:
0.80x
Now, she uses an additional $10 off coupon, making the final price equal to $30. So we can set up the following equation:
0.80x - 10 = 30
To find x, we will solve this equation:
0.80x = 30 + 10
0.80x = 40
x = 40 / 0.80
x = 50
Therefore, the original price of the sweater was $50.
So, the correct answer is d. 50.
.8x - 10 = 30
solve for x