Chloe needs to buy ingredients for her baking business. Flour bags cost $3 each and sugar bags cost $2 each. She has $25 to spend this week on these ingredients. Write an inequality that represents the given situation.
$3 f+2 s \leq 25$
$8 f+5 s \geq 25$
$3 f+2 s>25$
$2 f+3 s \leq 65$
Answer (1)
The inequality representing the situation is 3 f + 2 s ≤ 25 .
Explanation
Understanding the Problem Let's break down this problem. Chloe is buying flour and sugar, and we need to figure out an inequality that shows how much she can buy without spending more than $25.
Defining Variables Let's use variables to represent the unknowns:
Let f be the number of flour bags Chloe buys.
Let s be the number of sugar bags Chloe buys.
Calculating Costs Now, let's write expressions for the cost of the flour and sugar:
The cost of flour bags is $3 per bag, so the total cost of flour is 3 f .
The cost of sugar bags is $2 per bag, so the total cost of sugar is 2 s .
Formulating the Inequality The total amount Chloe spends on flour and sugar is 3 f + 2 s . Since she has $25 to spend, the total cost must be less than or equal to $25 . This gives us the inequality:
3 f + 2 s ≤ 25
Final Answer So, the inequality that represents the given situation is 3 f + 2 s ≤ 25 .
Examples
Imagine you're planning a pizza party. Each pizza costs $10, and each soda costs $2. You have $60 to spend. The inequality 10 p + 2 s ≤ 60 tells you how many pizzas ( p ) and sodas ( s ) you can buy without exceeding your budget. This kind of problem helps you manage your spending and make sure you don't run out of money!
