The sum of a number times 10 and 17 is at most 21
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Let's represent the number as x. The given statement can be written as an inequality:
x * 10 + 17 ≤ 21
Simplifying the inequality:
10x + 17 ≤ 21
Subtracting 17 from both sides:
10x ≤ 21 - 17
10x ≤ 4
Dividing both sides by 10:
x ≤ 4/10
x ≤ 0.4
Therefore, the number must be at most 0.4.
Let's break down the problem step by step:
Step 1: Identify the unknown.
Let's say the unknown number is "x".
Step 2: Translate the problem into an equation.
The sum of a number times 10 and 17 is at most 21 can be written as an equation:
10x + 17 ≤ 21
Step 3: Solve the equation.
To solve the equation, isolate the variable "x" by subtracting 17 from both sides:
10x ≤ 21 - 17
10x ≤ 4
Next, divide both sides of the equation by 10 to solve for "x":
x ≤ 4/10
x ≤ 0.4
Therefore, the maximum value that the number can be is 0.4, or in other words, the number must be less than or equal to 0.4 for the equation to hold true.
To solve this problem, we need to set up an inequality. Let's assume the number is represented by the variable 'x'.
The given information states that the sum of the number multiplied by 10 and 17 is at most 21. Mathematically, we can express this as:
10x + 17 ≤ 21
Now, we can solve this equation to find the range of possible values for 'x'.
Subtracting 17 from both sides:
10x ≤ 21 - 17
Simplifying:
10x ≤ 4
To isolate 'x', divide both sides of the inequality by 10:
x ≤ 4/10
Simplifying further:
x ≤ 0.4
Therefore, the solution to the inequality is x ≤ 0.4. This means that any number 'x' that is less than or equal to 0.4 will satisfy the original condition of the sum being at most 21.