ANSWER
EXPLANATiON
Given information
The original price of the cake is $15
To determine a better deal, follow the steps below
The first coupon; Take $5 off on every purchase of $10 or more)
This implies that if your purchase is more than $10, then, subtract $5
Hence, the amount he will pay is calculated below
[tex]\begin{gathered} \text{ The original price of the birthday cake is \$15} \\ \text{ The amount after applying the coupon = \lparen15 - 5\rparen} \\ \text{ The amount after applying the coupon is \$10} \end{gathered}[/tex]The second coupon
40% off of any purchase
This implies that there is a 40% discount on any the purchase
[tex]\begin{gathered} \text{ The new price = \lparen100 - 40\rparen\% }\times15 \\ \text{ The new price = \lbrack60\%\rparen }\times\text{ 15} \\ \text{ The new price=}\frac{60}{100}\text{ x 15} \\ \text{ The new price = 0.6 x 1.5} \\ \text{ The new price is \$9} \end{gathered}[/tex]From the above calculation; the second part has the best deal because you will be paying less of the origin