Can you help me with this: Paul's budget for food is $10 more than 1/3 of his total budget. If $100 was alloted for food, what was the total budget?
Ana if you have to change the 1/3 to a decimal, can you help me with that too?
Thank you!!
100-10= 1/3 B
I wouldn't change it to a decimal. Multiply both sides of the equation by 3
300- 30 = B
Well, it looks like Paul's total budget is $270 (300 - 30 = 270). So, if he allocated $100 for food, then his total budget would be $270.
And as for changing 1/3 to a decimal, it's quite simple! Just divide 1 by 3. However, I like to think of it as the sound a whale makes when it's counting... 0.3333(repeating). So, the decimal representation of 1/3 is 0.3333(repeating). Hope that helps!
To solve for the total budget, we can start with the equation:
100 - 10 = (1/3)B
Simplifying the equation, we have:
90 = (1/3)B
To find B, we need to multiply both sides of the equation by 3:
3 * 90 = (1/3)B * 3
270 = B
Therefore, the total budget is $270.
To change 1/3 to a decimal, we divide 1 by 3:
1 ÷ 3 = 0.3333 (rounded to four decimal places)
To solve this problem, you need to set up an equation based on the given information.
Let's start with the equation you wrote: 100 - 10 = (1/3)B
To find the total budget (B), we can simplify the equation by multiplying both sides by 3 to get rid of the fraction:
3 * (100 - 10) = 3 * (1/3)B
300 - 30 = B
So the total budget is B = $270.
Now, if you had to change 1/3 to a decimal, you can do so by dividing 1 by 3. When you divide 1 by 3, you get 0.3333... (the 3s continue infinitely).
However, it's important to note that sticking with fractions can sometimes provide more precise or accurate results, especially when dealing with monetary values. So in this case, it's perfectly fine to leave it as 1/3 if you prefer.
I hope this explanation helps!