Question

Alonso went to the market With $55 to buy eggs and sugar he knows he needs a package of 12 eggs that cost $2.75 after getting the eggs he wants to buy as much sugar as he can with his remaining money does sugar he likes comes in boxes that each cost $11.50

Answer 1

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.

$11.50x + 2.75\leq 55$

$11.50x\leq 55-2.75$

$11.50x\leq 52.25$

Divide both sides by 11.50.

$x\leq \dfrac{52.25}{11.50}$

$x\leq 4.54348$

So, the greatest integer value of x is 4.

Therefore, he can buy 4 sugar boxes with his remaining money.