Ben has 172 to spend on a membership at the fitness club . What is the number of months ben can be a member of the fitness club ?
The Correct Answer and Explanation is:
To determine how many months Ben can afford to be a member of the fitness club, we need to divide the total amount of money he has ($172) by the monthly cost of the membership.
Let’s assume that the monthly cost of the fitness club membership is $x. The number of months Ben can afford is calculated by dividing the total amount of money he has by the cost per month. This can be written as the formula:
[
\text{Number of months} = \frac{\text{Total money}}{\text{Cost per month}}
]
For example, if the cost of the monthly membership is $43, we would calculate the number of months Ben can afford like this:
[
\text{Number of months} = \frac{172}{43} = 4
]
Thus, Ben can be a member for 4 months.
If the membership cost is different, you would simply replace the $43 with the actual cost to get the number of months Ben can afford. The result should always be a whole number if the monthly cost divides evenly into $172. If the monthly membership cost does not divide evenly into the $172, the number of months Ben can afford will be the whole number part of the division (i.e., the largest integer that does not exceed the exact result).
For example, if the membership cost is $50:
[
\text{Number of months} = \frac{172}{50} = 3.44
]
In this case, since Ben cannot afford a fraction of a month, the number of months he can be a member is 3.
To summarize, Ben can afford a membership for a number of months determined by dividing his total budget by the monthly membership cost. The result should be rounded down to the nearest whole number if necessary, as fractional months are not typically allowed in membership plans.