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What percent of 7.2 kg is 18 gms ?...

What percent of `7.2` kg is 18 gms ?

A

`.025%`

B

`.25%`

C

`2.5%`

D

`25%`

Text Solution

AI Generated Solution

The correct Answer is:
To find out what percent of `7.2` kg is `18` grams, we can follow these steps: ### Step 1: Convert kilograms to grams Since we need to compare the two quantities in the same unit, we first convert `7.2` kg to grams. 1 kg = 1000 grams, so: \[ 7.2 \text{ kg} = 7.2 \times 1000 \text{ grams} = 7200 \text{ grams} \] ### Step 2: Set up the percentage equation Let \( x \) be the percentage we want to find. The equation for finding the percentage is: \[ \frac{18 \text{ grams}}{7200 \text{ grams}} \times 100 = x \] ### Step 3: Simplify the fraction Now, we can simplify the fraction: \[ \frac{18}{7200} \] To simplify, we can divide both the numerator and the denominator by `18`: \[ \frac{18 \div 18}{7200 \div 18} = \frac{1}{400} \] ### Step 4: Calculate the percentage Now we can substitute back into our percentage equation: \[ x = \frac{1}{400} \times 100 \] \[ x = \frac{100}{400} \] \[ x = 0.25 \] ### Conclusion Thus, \( 18 \) grams is \( 0.25\% \) of \( 7.2 \) kg. ---
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