Siara 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 x be the number of batches Siara made.
Siara made x * 75 biscuits in total.
She also received 60 additional biscuits from her friend.
The total number of biscuits she ended up with is x * 75 + 60.
This is equal to 360.
Thus, x * 75 + 60 = 360.
Subtracting 60 from both sides, we get x * 75 = 300.
Dividing both sides by 75, we get x = 4.
Therefore, Siara made 4 batches. Answer: \boxed{4}.
Let's assume the number of batches Siara made is represented by "b".
We know that each batch makes 75 biscuits.
So, the total number of biscuits from the batches is 75b.
Her friend gives her another 60 biscuits.
The total number of biscuits she receives from her friend is 60.
Therefore, the total number of biscuits Siara has for the bake sale is the sum of biscuits from the batches and the biscuits from her friend:
75b + 60.
According to the problem, this total is equal to 360 biscuits:
75b + 60 = 360.
To solve this equation for "b", we can subtract 60 from both sides:
75b = 360 - 60,
75b = 300.
Finally, divide both sides by 75:
b = 300/75,
b = 4.
Thus, Siara made 4 batches of biscuits.
To solve this problem using algebra, let's assign a variable to the unknown quantity we're trying to find.
Let's say Siara made "x" batches of biscuits.
Since each batch makes 75 biscuits, the total number of biscuits she made from the batches is 75x.
Her friend also gave her 60 biscuits, so the total number of biscuits she has is 75x + 60.
According to the problem, the total number of biscuits Siara ended up with is 360.
So, we can set up the equation: 75x + 60 = 360.
Now, let's solve for x.
Subtract 60 from both sides of the equation: 75x = 360 - 60.
Simplifying the equation, we have: 75x = 300.
Divide both sides of the equation by 75: x = 300/75 = 4.
Therefore, Siara made 4 batches of biscuits for the bake sale.