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Math  /  Algebra

QuestionWhen might we use this? Let's see... Your $128\$128 regular pay, plus tips, was $237\$237. How much were the tips?
A store decreased its price on a computer by $112\$112 to $478\$478. What was the original price? REMEMBER TO CHECK YOUR SOLUTION!

Studdy Solution

STEP 1

1. The total amount of regular pay plus tips is 237.<br/>2.Theregularpayis237.<br />2. The regular pay is 128.
3. We need to find the amount of tips.
4. The store decreased the price of a computer by 112to112 to 478.
5. We need to find the original price of the computer.

STEP 2

1. Calculate the tips from the total pay.
2. Calculate the original price of the computer.
3. Check the solutions.

STEP 3

Calculate the tips from the total pay.
The total pay is the sum of regular pay and tips. We can express this as:
Regular Pay+Tips=Total Pay \text{Regular Pay} + \text{Tips} = \text{Total Pay}
Substitute the known values:
128+Tips=237 128 + \text{Tips} = 237

STEP 4

Isolate the Tips variable by subtracting $128 from both sides:
Tips=237−128 \text{Tips} = 237 - 128
Tips=109 \text{Tips} = 109
The amount of tips is:
109 \boxed{109}

STEP 5

Calculate the original price of the computer.
The new price is the original price minus the decrease. We can express this as:
Original Price−Decrease=New Price \text{Original Price} - \text{Decrease} = \text{New Price}
Substitute the known values:
Original Price−112=478 \text{Original Price} - 112 = 478

STEP 6

Isolate the Original Price variable by adding $112 to both sides:
Original Price=478+112 \text{Original Price} = 478 + 112
Original Price=590 \text{Original Price} = 590
The original price of the computer is:
590 \boxed{590}

STEP 7

Check the solutions.
For the tips: 128+109=237 128 + 109 = 237 The calculation is correct.
For the original price: 590−112=478 590 - 112 = 478 The calculation is correct.

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