Answer:
All answers in explanation
Explanation:
Step 1: Unknown
Unknown is the number of refills purchased
Step 2 Key Information
Cost of souvenir cup, price per refill and total money spent
Step 3: Strategy (equation)
Define a variable x that represents the number of refills bought
The souvenir cup cost $14.25
Each refill costs $1.25
So x refills will cost 1.25x
Total cost = 14.25 + 1.25x
We are told she spent $23
So the equation is
14.25 + 1.25x = 23
Step 4: Solution
Equation is
14.25 + 1.25x = 23
a) Isolate the x term by subtracting 14.25 on both sides
14.25 - 14.25 + 1.25x = 23 - 14.25
1.25x = 8.75
b) Divide both sides by 1.25:
1.25x/1.25 = 8.75/1.25
x = 7
Solution is 7 refills
Step 5: Check your answer
Plug x = 7 back into the left side of the equation and check if it works out to 23
14.25 + 1.25 (7) = 14.25 + 8.75 = 23
So our answer is correct