Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost $11.50 Write an inequality. Also, after getting the eggs, how many boxes of sugar can Alonso afford? Thanks.

An inequality to represent how many boxes of sugar can Alonso afford is 55 ≥ 2.75 + 11.50s

Given:

Amount with Alonso = $55

Package of 12 eggs = $2.75

Cost of each box of sugar = $11.50

let

s = number of boxes of sugar Alonso can afford

The inequality:

55 ≥ 2.75 + 11.50s

solve for s

55 - 2.75 ≥ 11.50s

52.25 ≥ 11.50s

divide both sides by 11.50

52.25 / 11.50 ≥ s

4.5434782608695 ≥ s

Alonso can only buy a whole box of sugar

Therefore, the number of boxes of sugar Alonso can afford is 4 boxes

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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.