Understand the problem: Understand the problem. We are given a proportion 3x:5 = 6:6 and we need to find the value of x.Set up the proportion: Set up the proportion as an equation. 3x/5 = 6/6Simplify the equation: Simplify the right side of the equation. 6/6 simplifies to 1. So, 3x/5 = 1Solve for x: Solve for x. To find x, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 5. (3x/5) * 5 = 1 * 5Perform the multiplication: Perform the multiplication. 3x = 5Divide to solve for x: Divide both sides by 3 to solve for x. x = 5/3

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( $7$ ) $3 x: 5=6: 6$

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

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Q. (

7

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3 x: 5=6: 6

Understand the problem: Understand the problem. $\newline$ We are given a proportion $3x:5 = 6:6$ and we need to find the value of $x$ .
Set up the proportion: Set up the proportion as an equation. $\frac{3x}{5} = \frac{6}{6}$
Simplify the equation: Simplify the right side of the equation. $\frac{6}{6}$ simplifies to $1$ . So, $\frac{3x}{5} = 1$
Solve for x: Solve for x. $\newline$ To find $x$ , we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by $5$ . $\newline$ $(\frac{3x}{5}) \times 5 = 1 \times 5$
Perform the multiplication: Perform the multiplication. $3x = 5$
Divide to solve for $x$ : Divide both sides by $3$ to solve for $x$ . $x = \frac{5}{3}$