Will pays $85 membership fee to become a member of a gym. He then pays only $37 every month. Write an equation to show how many months he could work out if he has $560.
85 - 37m = 560
To find out how many months Will could work out if he has $560, we need to determine the total cost of his gym membership and compare it to his available funds.
The total cost of Will's gym membership includes the initial membership fee of $85 and the monthly fee of $37. Let's denote the number of months Will can work out as "x".
The equation would be:
Total cost = Membership fee + (Monthly fee * Number of months)
$560 = $85 + ($37 * x)
Simplifying the equation, we have:
$560 = $85 + $37x
To find the value of x, we need to isolate it on one side of the equation. We subtract $85 from both sides:
$560 - $85 = $85 - $85 + $37x
$475 = $37x
To isolate x, divide both sides of the equation by $37:
$475 / $37 = $37x / $37
12.84 ≈ x
Therefore, Will could work out for approximately 12.84 months if he has $560. Since we can't have a fractional number of months, we would typically round down to the nearest whole number. In this case, Will could work out for 12 months.