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Someone please help I’ll give brainles u gotta put the steps

Someone please help I’ll give brainles u gotta put the steps-example-1

1 Answer

5 votes

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