Write and solve an inequality for the following situation:
The cat rescue is selling cat beds as a fundraiser. If its goal is to raise $1300, how many cat beds must be sold at $15.00 each to meet the goal?
Let x be the number of cat beds sold.
The total amount raised from selling cat beds is 15x dollars.
The inequality representing the situation is 15x ≥ 1300.
To solve for x, we divide both sides of the inequality by 15: x ≥ 1300/15= 86.66667.
The number of cat beds that must be sold to meet the goal is a whole number, so the smallest number of cat beds that must be sold is 87.
To solve this problem, we can first define a variable to represent the number of cat beds to be sold. Let's call it "x".
Next, we can set up an inequality based on the given information. The goal is to raise $1300, and each cat bed is sold for $15.00. So, the total amount raised can be found by multiplying the number of beds (x) by the price per bed ($15.00).
Therefore, the inequality can be written as:
15x ≥ 1300
To solve this inequality, we need to isolate the variable x. To do that, we'll divide both sides of the inequality by 15:
15x/15 ≥ 1300/15
x ≥ 86.67
Since the number of cat beds must be a whole number, we round up to the nearest whole number because we cannot sell a partial cat bed. Therefore, at least 87 cat beds must be sold to meet the fundraising goal of $1300.
To solve this situation, let's define the variables:
Let "x" represent the number of cat beds that must be sold.
The cost of each cat bed is $15.00, so the total amount raised from selling cat beds is $15.00 times the number of cat beds sold, which is 15x.
The goal is to raise $1300, so we can write the inequality:
15x ≥ 1300
Now, let's solve the inequality:
Divide both sides of the inequality by 15 to isolate the variable x:
x ≥ 1300/15
Simplifying, we find:
x ≥ 86.667
Since we can't sell a fraction of a cat bed, rounding up to the nearest whole number, we find that at least 87 cat beds must be sold to reach the goal of $1300.