Question Translate and solve using proportions: $$ 49 \% $$ of what number is $$ \$ 12.25 $$ ? Provide your answer below:

Question

UpStudy AI · Accepted Answer

1. Since $$ 49\% $$ of a number equals $$\$12.25$$, we set up the equation:
   $$
   0.49 \times x = 12.25
   $$

2. To solve for $$ x $$, divide both sides of the equation by $$ 0.49 $$:
   $$
   x = \frac{12.25}{0.49}
   $$

3. Simplify the fraction by multiplying the numerator and denominator by $$ 100 $$ to eliminate decimals:
   $$
   x = \frac{12.25 \times 100}{0.49 \times 100} = \frac{1225}{49}
   $$

4. Perform the division:
   $$
   1225 \div 49 = 25
   $$

Thus, the number is $$ 25 $$.
The number is 25.

Question Translate and solve using proportions: \( 49 \% \) of what number is \( \$ 12.25 \) ? Provide your answer below:

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