Math / Numbers & Operations

QuestionThe ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent ratio. \begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & $\square$ \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The ratio of shells to driftwood is consistent across the table.
2. We need to find the missing value in the driftwood row that maintains the equivalent ratio.

STEP 2

1. Determine the initial ratio.
2. Set up a proportion to find the missing value.
3. Solve the proportion.

STEP 3

Determine the initial ratio from the given values in the table.
The initial ratio of shells to driftwood is $\frac{9}{3}$ .

STEP 4

Set up a proportion using the initial ratio and the given value for shells in the second column.
$\frac{9}{3} = \frac{36}{x}$

STEP 5

Solve the proportion for $x$ .
Multiply both sides by $x$ to isolate $x$ on one side:
$9x = 3 \times 36$

STEP 6

Calculate the value of $x$ .
$9x = 108$
Divide both sides by $9$ :
$x = \frac{108}{9} = 12$
The completed ratio table is:
\begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & 12 \\ \hline \end{tabular}

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QuestionThe ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent ratio. \begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & $\square$ \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The ratio of shells to driftwood is consistent across the table.
2. We need to find the missing value in the driftwood row that maintains the equivalent ratio.

STEP 2

1. Determine the initial ratio.
2. Set up a proportion to find the missing value.
3. Solve the proportion.

STEP 3

Determine the initial ratio from the given values in the table.
The initial ratio of shells to driftwood is $\frac{9}{3}$ .

STEP 4

Set up a proportion using the initial ratio and the given value for shells in the second column.
$\frac{9}{3} = \frac{36}{x}$

STEP 5

Solve the proportion for $x$ .
Multiply both sides by $x$ to isolate $x$ on one side:
$9x = 3 \times 36$

STEP 6

Calculate the value of $x$ .
$9x = 108$
Divide both sides by $9$ :
$x = \frac{108}{9} = 12$
The completed ratio table is:
\begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & 12 \\ \hline \end{tabular}

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QuestionThe ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent ratio. \begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & □\square□ \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The ratio of shells to driftwood is consistent across the table.2. We need to find the missing value in the driftwood row that maintains the equivalent ratio.

STEP 2

1. Determine the initial ratio.2. Set up a proportion to find the missing value.3. Solve the proportion.

STEP 3

Determine the initial ratio from the given values in the table.The initial ratio of shells to driftwood is 93 \frac{9}{3} 39​.

STEP 4

Set up a proportion using the initial ratio and the given value for shells in the second column.93=36x\frac{9}{3} = \frac{36}{x}39​=x36​

STEP 5

Solve the proportion for x x x.Multiply both sides by x x x to isolate x x x on one side:9x=3×369x = 3 \times 369x=3×36

STEP 6

Calculate the value of x x x.9x=1089x = 1089x=108Divide both sides by 9 9 9:x=1089=12x = \frac{108}{9} = 12x=9108​=12 The completed ratio table is:\begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & 12 \\ \hline \end{tabular}

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionThe ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent ratio. \begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & $\square$ \\ \hline \end{tabular}

1. The ratio of shells to driftwood is consistent across the table.
2. We need to find the missing value in the driftwood row that maintains the equivalent ratio.

1. Determine the initial ratio.
2. Set up a proportion to find the missing value.
3. Solve the proportion.

Determine the initial ratio from the given values in the table.
The initial ratio of shells to driftwood is $\frac{9}{3}$ .

Set up a proportion using the initial ratio and the given value for shells in the second column.
$\frac{9}{3} = \frac{36}{x}$

Solve the proportion for $x$ .
Multiply both sides by $x$ to isolate $x$ on one side:
$9x = 3 \times 36$

Calculate the value of $x$ .
$9x = 108$
Divide both sides by $9$ :
$x = \frac{108}{9} = 12$
The completed ratio table is:
\begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & 12 \\ \hline \end{tabular}