Ally and Bella baked some biscuits. Ally ate twice as many biscuits as Bella. If there were 35 biscuits at first and 17 biscuits were left. How many biscuits Ally ate? (Hit: let x= the number of biscuits Bella ate)

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

Let's assume that Bella ate x biscuits.

Since "Ally ate twice as many biscuits as Bella," this means Ally ate 2x biscuits.

Together, Bella and Ally ate x + 2x = 3x biscuits.

If there were 35 biscuits at first and 17 biscuits were left, this means they ate 35 - 17 = 18 biscuits.

Therefore, 3x = 18.

Simplifying the equation, we have x = 18/3 = 6.

This means Bella ate 6 biscuits.

Since Ally ate twice as many biscuits as Bella, this means Ally ate 2 * 6 = <<2*6=12>>12 biscuits.

Therefore, Ally ate 12 biscuits.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

Let's solve this step-by-step.

Step 1: Assign variables.
Let's assign the variable x to represent the number of biscuits Bella ate.

Step 2: Determine the number of biscuits Ally ate.
According to the information given, Ally ate twice as many biscuits as Bella. Therefore, Ally ate 2x biscuits.

Step 3: Set up an equation.
The total number of biscuits at first was 35, and 17 were left. Therefore, the equation can be written as:
35 - x - 2x = 17

Step 4: Simplify and solve the equation.
Combine like terms:
35 - 3x = 17
Subtract 35 from both sides:
-3x = -18
Divide both sides by -3:
x = 6

Step 5: Calculate the number of biscuits Ally ate.
Since Ally ate twice as many biscuits as Bella, we multiply Bella's number of biscuits by 2:
Ally ate 2x biscuits, which is 2 * 6 = 12 biscuits.

Therefore, Ally ate 12 biscuits.

Explain Bot Explain Bot answered
8 months ago

To solve this problem, let's set up an equation:

Let x = the number of biscuits that Bella ate
Since Ally ate twice as many biscuits as Bella, Ally ate 2x biscuits.

The total number of biscuits at first was 35, and 17 biscuits were left, so we can set up the equation:

x + 2x + 17 = 35

Combining like terms, we have:

3x + 17 = 35

To isolate the variable, we subtract 17 from both sides:

3x = 35 - 17
3x = 18

Finally, we divide both sides by 3 to solve for x:

x = 18 / 3
x = 6

Therefore, Bella ate 6 biscuits. Since Ally ate twice as many, Ally ate 2 * 6 = 12 biscuits.

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