Math / Numbers & Operations

QuestionFind the number that makes the ratio equivalent to $72: 24$ . $\square$ :2 Submit

Studdy Solution

STEP 1

1. We are given a ratio $72:24$ .
2. We need to find a number $x$ such that the ratio $x:2$ is equivalent to $72:24$ .
3. Ratios are equivalent if their cross-products are equal.

STEP 2

1. Simplify the given ratio.
2. Set up an equation for equivalent ratios.
3. Solve for the unknown number.

STEP 3

Simplify the given ratio $72:24$ .
Divide both terms of the ratio by their greatest common divisor, which is $24$ .
$\frac{72}{24} : \frac{24}{24} = 3:1$

STEP 4

Set up an equation for equivalent ratios.
We want $x:2$ to be equivalent to $3:1$ .
$\frac{x}{2} = \frac{3}{1}$

STEP 5

Solve for $x$ .
Multiply both sides by $2$ to isolate $x$ .
$x = 3 \times 2$
$x = 6$
The number that makes the ratio equivalent to $72:24$ is:
$\boxed{6}$

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QuestionFind the number that makes the ratio equivalent to $72: 24$ . $\square$ :2 Submit

Studdy Solution

STEP 1

1. We are given a ratio $72:24$ .
2. We need to find a number $x$ such that the ratio $x:2$ is equivalent to $72:24$ .
3. Ratios are equivalent if their cross-products are equal.

STEP 2

1. Simplify the given ratio.
2. Set up an equation for equivalent ratios.
3. Solve for the unknown number.

STEP 3

Simplify the given ratio $72:24$ .
Divide both terms of the ratio by their greatest common divisor, which is $24$ .
$\frac{72}{24} : \frac{24}{24} = 3:1$

STEP 4

Set up an equation for equivalent ratios.
We want $x:2$ to be equivalent to $3:1$ .
$\frac{x}{2} = \frac{3}{1}$

STEP 5

Solve for $x$ .
Multiply both sides by $2$ to isolate $x$ .
$x = 3 \times 2$
$x = 6$
The number that makes the ratio equivalent to $72:24$ is:
$\boxed{6}$

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QuestionFind the number that makes the ratio equivalent to 72:2472: 2472:24. □\square□ :2 Submit

Studdy Solution

STEP 1

1. We are given a ratio 72:24 72:24 72:24.2. We need to find a number x x x such that the ratio x:2 x:2 x:2 is equivalent to 72:24 72:24 72:24.3. Ratios are equivalent if their cross-products are equal.

STEP 2

1. Simplify the given ratio.2. Set up an equation for equivalent ratios.3. Solve for the unknown number.

STEP 3

Simplify the given ratio 72:24 72:24 72:24.Divide both terms of the ratio by their greatest common divisor, which is 24 24 24.7224:2424=3:1 \frac{72}{24} : \frac{24}{24} = 3:1 2472​:2424​=3:1

STEP 4

Set up an equation for equivalent ratios.We want x:2 x:2 x:2 to be equivalent to 3:1 3:1 3:1.x2=31 \frac{x}{2} = \frac{3}{1} 2x​=13​

STEP 5

Solve for x x x.Multiply both sides by 2 2 2 to isolate x x x.x=3×2 x = 3 \times 2 x=3×2x=6 x = 6 x=6 The number that makes the ratio equivalent to 72:24 72:24 72:24 is:6\boxed{6}6​

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QuestionFind the number that makes the ratio equivalent to $72: 24$ . $\square$ :2 Submit

1. We are given a ratio $72:24$ .
2. We need to find a number $x$ such that the ratio $x:2$ is equivalent to $72:24$ .
3. Ratios are equivalent if their cross-products are equal.

1. Simplify the given ratio.
2. Set up an equation for equivalent ratios.
3. Solve for the unknown number.

Simplify the given ratio $72:24$ .
Divide both terms of the ratio by their greatest common divisor, which is $24$ .
$\frac{72}{24} : \frac{24}{24} = 3:1$

Set up an equation for equivalent ratios.
We want $x:2$ to be equivalent to $3:1$ .
$\frac{x}{2} = \frac{3}{1}$

Solve for $x$ .
Multiply both sides by $2$ to isolate $x$ .
$x = 3 \times 2$
$x = 6$
The number that makes the ratio equivalent to $72:24$ is:
$\boxed{6}$