Answer:
1) The inequality is $55 ≥ $11.50 × S + $2.75
2) Alonso can afford 4 boxes of sugar
Step-by-step explanation:
The given information are;
The total amount with Alonso = $55
The amount of eggs Alonso needs = 12 eggs
The costs of the pack of 12 eggs = $2.75
The number of packs of eggs Alonso buys = 1
The cost of each box of sugar = $11.50
Let the number of boxes of sugar Alonso buys = S
Given that the total amount of money with Alonso is $55, then the inequality will be such that $55 will be equal to or larger than the expression for items bought
Therefore, the inequality is given as follows;
$55 ≥ $11.50 × S + $2.75
2) To find out how many boxes of sugar Alonso can afford, we have;
$55 ≥ $11.50 × S + $2.75
$55 - $2.75≥ $11.50 × S
$52.25 ≥ $11.50 × S
∴ S ≤ $52.25/$11.50 = 4.54
S ≤ 4.54 boxes of sugar
As the sugar comes in whole boxes, Alonso can therefore afford only 4 whole boxes of sugar.
Alonso can afford to buy 4 boxes of sugar.