Answer:
x = number of months
19.5x + 55 = 250
- 55 = 250 - 55
19.5x = 195
x = 195 ÷ 19.5
x = 10
10 months
Step-by-step explanation:
We need to find the number of months represented by x. We know that there is a monthly fee of 19.50. so we can multiply x by 19.50. we are also given an additional 55 fee for the membership. so we need to add 55 to 19.50 multiplied by the number of months. we have a total of 250 to spend. this gives us our equation:19.5x + 55 = 250. To solve for x we can first start with subtracting 55 to both sides of the equation. Because what we do to one side of the equation we must also do to the other side of the equation.
19.5x + 55 = 250
-55 = 250 -55
which helps us simplify the equation to
19.5x = 195
Now we are able to divide both sides by the 19.5 to give us our x amount.
19.5 ÷ 19.5x = 195 ÷ 19.5
This gives us 1x or 1 times x equals 10
1(x) = 10
Since 1 multiplied by x equals the same number, x is then equal to 10
x = 10
