Sara is baking biscuits for a bake sale. Each batch makes 75 biscuits, and her friend gives her another 60 biscuits. She ends up with 360 biscuits total for the bake sale. Use algebra to solve for how many batches she made. (1 point)
Let's assume Sara made x batches of biscuits.
Since each batch makes 75 biscuits, the total number of biscuits from the batches is 75x.
Her friend also gave her 60 biscuits.
Therefore, the total number of biscuits Sara has is 75x + 60.
Since she ends up with 360 biscuits in total, we can set up the equation: 75x + 60 = 360.
Now we need to solve this equation for x.
Subtract 60 from both sides: 75x = 300.
Divide both sides by 75: x = 4.
Therefore, Sara made 4 batches of biscuits. Answer: \boxed{4}.
Let's assign a variable to the number of batches Sara made. Let's call it "x".
So, according to the problem, each batch makes 75 biscuits. Therefore, the number of biscuits from the batches she made would be 75x.
Her friend gives her another 60 biscuits, so the total number of biscuits would be 75x + 60.
The problem states that she ends up with 360 biscuits total for the bake sale. So we can set up the equation:
75x + 60 = 360
To solve for x, we need to isolate it on one side of the equation.
To do this, we subtract 60 from both sides of the equation:
75x = 360 - 60
Simplifying the right side of the equation:
75x = 300
Now, to solve for x, we divide both sides by 75:
x = 300/75
Simplifying:
x = 4
Therefore, Sara made 4 batches of biscuits for the bake sale.
To solve this problem using algebra, let's use the variable "b" to represent the number of batches Sara made.
We know that each batch makes 75 biscuits, so the number of biscuits from the batches would be 75b.
Her friend gives her an additional 60 biscuits, so we add that to the total.
Therefore, the equation would be: 75b + 60 = 360.
To solve for "b", we need to isolate it on one side of the equation. Let's subtract 60 from both sides:
75b = 360 - 60.
Simplifying, we have:
75b = 300.
Now, divide both sides of the equation by 75:
b = 300 / 75.
Simplifying further, we get:
b = 4.
So, Sara made 4 batches of biscuits for the bake sale.