Solve each equation for the indicated variable. Round answers to two decimal places as necessary.
$\frac{C}{29}=14$
Answer (2)
To solve the equation 29 C = 14 , we multiply both sides by 29 to isolate C . This calculation results in C = 406 , which can also be written as 406.00 .
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Multiply both sides of the equation by 29 to isolate C: C = 14 × 29 .
Calculate the value of 14 × 29 .
The result of the multiplication is 406.
Therefore, the solution is 406 .
Explanation
Understanding the Problem We are given the equation 29 C = 14 and asked to solve for the variable C . This means we want to isolate C on one side of the equation.
Isolating C To isolate C , we need to undo the division by 29. We can do this by multiplying both sides of the equation by 29: 29 C × 29 = 14 × 29
Simplifying the Equation This simplifies to: C = 14 × 29 Now, we just need to calculate the value of 14 × 29 .
Calculating the Value of C Multiplying 14 by 29, we get: C = 406 Since we are asked to round to two decimal places if necessary, and 406 is a whole number, we can write it as 406.00.
Examples
Imagine you are baking a cake and the recipe calls for a certain ratio of flour to sugar. If you know you need 14 cups of sugar and the ratio of flour to sugar is 1:29, this problem helps you calculate how much flour you need. By solving the equation, you determine the exact amount of flour required to maintain the recipe's balance, ensuring your cake turns out perfectly. This type of proportional reasoning is essential in cooking, chemistry, and many other fields where precise measurements are critical.
