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QuestionWhen you multiply a value by 100, the decimal moves two places right. Find the percentage of salt in 125 g seasoning with 74.0 g salt.

Studdy Solution

STEP 1

Assumptions1. The total mass of the seasoning is125g. The mass of salt in the seasoning is74.0g3. We are asked to find the percentage of salt by mass in the seasoning

STEP 2

The percentage of salt by mass in the seasoning can be calculated using the formulaPercentage of salt=Mass of saltTotal mass of seasoning×100Percentage\, of\, salt = \frac{Mass\, of\, salt}{Total\, mass\, of\, seasoning} \times100

STEP 3

Now, plug in the given values for the mass of salt and the total mass of the seasoning to calculate the percentage.
Percentage of salt=74.0g125g×100Percentage\, of\, salt = \frac{74.0g}{125g} \times100

STEP 4

First, calculate the ratio of the mass of salt to the total mass of the seasoning.
Ratio=74.0g125gRatio = \frac{74.0g}{125g}

STEP 5

Calculate the ratio.
Ratio=74.0g125g=0.592Ratio = \frac{74.0g}{125g} =0.592

STEP 6

Now, multiply the ratio by100 to get the percentage of salt by mass in the seasoning.
Percentage of salt=0.592×100Percentage\, of\, salt =0.592 \times100

STEP 7

Calculate the percentage.
Percentage of salt=0.592×100=59.2%Percentage\, of\, salt =0.592 \times100 =59.2\%The percentage of salt by mass in the seasoning is59.2%.

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