To be able to determine which among the two coupons gives you a lower price, let's first determine the equivalent value of Coupon B's 30% off then we compared it if it is higher than Coupon A's $9 rebate or not. The higher the amount will give you a lower discounted price.
Let's determine the equivalent amount of Coupon B at 30% off.
[tex]\text{ \$38 x }\frac{30\text{\%}}{100\text{\%}}\text{ }\rightarrow\text{ \$38 x 0.30}[/tex][tex]\text{ = \$11.40}[/tex]
Coupon B will give you $11.40 off on a $38 chair. Since $11.40 is higher than Coupon A's $9 dollar rebate, therefore, Coupon B will give you a lower price for the chair.
Let's determine the amount Coupon B will be lesser compared to Coupon A:
[tex]\text{ Coupon B - Coupon A }\rightarrow\text{ \$11.40 - \$9}[/tex][tex]\text{ = \$2.40}[/tex]
The price of coupon B is $2.40 lesser than coupon A.
