To find out how much each friend ate, we need to divide the amount of cake eaten by the number of friends.
9 friends ate 3/4 of the cake.
This means each friend ate 3/4 divided by 9.
To divide fractions, we can multiply by the reciprocal of the divisor.
So, 3/4 ÷ 9 is the same as 3/4 * 1/9.
Multiplying these fractions gives us 3/36, which simplifies to 1/12.
Therefore, each friend ate 1/12 of the cake.
At Mariah's birthday party, 9 of her friends ate 3/4 of her chocolate cake. How much of the cake did each friend eat?
3 answers
The product of 9 and the sum of a number and 8 is 180. What is the number?
Let's let the number we are looking for be represented by "x".
The sum of the number and 8 can be expressed as x + 8.
According to the problem, the product of 9 and the sum of the number and 8 is 180. This can be written as:
9(x + 8) = 180.
To solve for x, we will first distribute the 9 to the terms inside the parentheses:
9x + 72 = 180.
Next, we can isolate the variable by subtracting 72 from both sides of the equation:
9x = 180 - 72.
Simplifying the right side gives us:
9x = 108.
Finally, we can solve for x by dividing both sides of the equation by 9:
x = 108/9.
Simplifying the right side gives us the solution:
x = 12.
Therefore, the number we are looking for is 12.
The sum of the number and 8 can be expressed as x + 8.
According to the problem, the product of 9 and the sum of the number and 8 is 180. This can be written as:
9(x + 8) = 180.
To solve for x, we will first distribute the 9 to the terms inside the parentheses:
9x + 72 = 180.
Next, we can isolate the variable by subtracting 72 from both sides of the equation:
9x = 180 - 72.
Simplifying the right side gives us:
9x = 108.
Finally, we can solve for x by dividing both sides of the equation by 9:
x = 108/9.
Simplifying the right side gives us the solution:
x = 12.
Therefore, the number we are looking for is 12.
1 answer