Question

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.
Let S represent the number of boxes of sugar Alonso buys.
1) Which inequality describes this scenario?
Choose 1 answer:
A)2.75 + S < 55
B)2.75+ S > 55
C)2.75 + 11.505 < 55
D)2.75 + 11.50S > 55
2) after getting the eggs,how many boxes of suegra can Alonso afford

Answer 1

Alonso has $55 initially and spends $2.75 on eggs, leaving him with $52.25 for sugar. The inequality that represents this scenario is 2.75 + 11.50S <= 55. After the purchase of eggs, Alonso can afford 4 boxes of sugar with the remaining money.

Step-by-step explanation:

The student's question is about determining the inequality that represents the scenario of Alonso buying eggs and sugar with a fixed amount of money and also calculating how much sugar he can afford after buying the eggs.

Firstly, let's calculate how much money Alonso has left after buying the eggs. He starts with $55 and spends $2.75 on a package of 12 eggs, leaving him with $52.25. This amount represents the money he can spend on boxes of sugar.

The price of each box of sugar is $11.50. To find out the maximum number of boxes Alonso can buy, we should set up an inequality showing that the total cost of the sugar boxes Alonso buys multiplied by their price should be less than or equal to the money he has remaining.

So, the inequality will be 11.50S <= 52.25, where S represents the number of boxes of sugar. This inequality ensures he doesn't spend more than he has left.

Now, dividing $52.25 by the cost per box of sugar, $11.50, we find that Alonso can afford exactly 4 boxes of sugar. Therefore, the option that describes this scenario is C)2.75 + 11.50S <= 55, and he can buy 4 boxes of sugar with the remaining money.