Given:
Alonso has total amount = $55
Cost of a package of 12 eggs = $2.75
Cost of sugar box = $11.50
To find:
The number of sugar boxes he can buy with the remaining money after buying a package of 12 eggs that cost $2.75.
Solution:
Let the number of sugar boxes he can buy be x.
Total cost of x sugar boxes = $11.50x
Total cost of x sugar boxes and a package of 12 eggs = $(11.50x + 2.75)
The total cost must be less than or equal to $55.
[tex]11.50x + 2.75\leq 55[/tex]
[tex]11.50x\leq 55-2.75[/tex]
[tex]11.50x\leq 52.25[/tex]
Divide both sides by 11.50.
[tex]x\leq \dfrac{52.25}{11.50}[/tex]
[tex]x\leq 4.54348[/tex]
So, the greatest integer value of x is 4.
Therefore, he can buy 4 sugar boxes with his remaining money.
