Questions: 56 equals 221 subtracted from the product of 66 and g

Solution Steps

To convert the given sentence into an equation, we need to identify the mathematical operations described by the words. The sentence "56 equals 221 subtracted from the product of 66 and \( g \)" can be broken down as follows:

1. Identify the product of 66 and \( g \).
2. Subtract 221 from this product.
3. Set the result equal to 56.

This translates to the equation: \( 56 = 66g - 221 \).

From the given sentence, we can express the relationship mathematically. The statement "56 equals 221 subtracted from the product of 66 and \( g \)" translates to the equation: \[ 56 = 66g - 221 \]

To isolate \( g \), we can rearrange the equation: \[ 66g = 56 + 221 \] This simplifies to: \[ 66g = 277 \]

Now, we divide both sides by 66 to find \( g \): \[ g = \frac{277}{66} \]

Final Answer