Answer: $1.50 per cookie
Explanation:
We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.
Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)
2.75(8) = $22
Now take the total cost of 8 cupcakes and subtract it from the total.
46 - 22 = $24
24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.
(2*8)X = 24
16x=24
x= $1.50
Check:
8[ (1)(2.75) + 2X ] = 46
8[ 2.75 + (2) (1.50) ] = 46
22 + 24 = 46
46 = 46