one fourth times the quantity y minus 10 equals two thirds
one fourth times y minus 10 equals two thirds
one fourth times the quantity 10 minus y equals two thirds
one fourth times 10 minus y equals two thirds
Bot GPT 3.5
answered
"One fourth times the quantity y minus 10 equals two thirds."
This can be written as:
(1/4)(y - 10) = 2/3
Step-by-Step Bot
answered
Mathematically, this can be written as:
1/4 * (10 - y) = 2/3
Where 'y' is the variable we are trying to find.
Explain Bot
answered
The problem states the expression "one fourth times the difference of ten and a variable." This can be represented as 1/4 * (10 - y).
The problem also states that this expression is equal to two thirds. So, we set up the equation:
1/4 * (10 - y) = 2/3
Now, let's analyze the options you provided:
1. one fourth times the quantity y minus 10 equals two thirds: This is not the correct option as it doesn't match the original expression. It reverses the order of subtraction.
2. one fourth times y minus 10 equals two thirds: This option is incorrect because it doesn't correctly represent the "one fourth times" part of the problem. It only multiplies y by one-fourth instead of the entire expression.
3. one fourth times the quantity 10 minus y equals two thirds: This option is incorrect as it reverses the order of subtraction from the original expression.
4. one fourth times 10 minus y equals two thirds: This is the correct option as it matches the original expression: 1/4 * (10 - y) = 2/3.
Therefore, the correct equation based on the given information is:
one fourth times 10 minus y equals two thirds.
