Answer: 19 macaroons
Step-by-step explanation:
Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.
33=x+x+5
33=2x+5
33-5=2x+5-5
28=2x
28/2=2x/2
14=x
This means that Em made 14 macaroons.
14+5=19
Therefore, Jim baked 19 macaroons.
If
![\frac { 3 }{ 4 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%203%20%7D%7B%204%20%7D%20)
is left, that means
![\frac { 1 }{ 4 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%201%20%7D%7B%204%20%7D%20)
was spent. So
![\frac { 1 }{ 4 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%201%20%7D%7B%204%20%7D%20)
of the total amount is equal to 39.. Let's say x to the total amount.
Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1