QuestionFind missing values A, B, C, and D in the ratio table: A, 18, 30, C, 3; 7, B, 5, 4, D.

Studdy Solution

STEP 1

Assumptions1. The table represents a ratio table. . The ratio between the values in the first row and the corresponding values in the second row is constant.
3. We need to find the missing values B, C, and D.

STEP 2

First, we need to find the ratio between the known values in the first and second row. We can do this by dividing the first known value in the first row by the first known value in the second row.
$Ratio = \frac{First\, value\, in\, first\, row}{First\, value\, in\, second\, row}$

STEP 3

Now, plug in the given values for the first value in the first row and the first value in the second row to calculate the ratio.
$Ratio = \frac{18}{7}$

STEP 4

Calculate the ratio.
$Ratio = \frac{18}{7} =2.57 (approx)$

STEP 5

Now that we have the ratio, we can find the missing values B, C, and D. For each missing value, we multiply the corresponding value in the first row by the ratio.
$B =30 \times Ratio$ $C =4 \times Ratio$ $=3 \times Ratio$

STEP 6

Plug in the values for the ratio to calculate B, C, and D.
$B =30 \times2.57$ $C =4 \times2.57$ $=3 \times2.57$

STEP 7

Calculate the missing values B, C, and D.
$B =30 \times2.57 =77.1 (approx)$ $C =4 \times2.57 =10.28 (approx)$ $=3 \times2.57 =7.71 (approx)$ The missing values in the ratio table are approximately B =77.1, C =10.28, and D =7.71.

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