3. justin bought a calculator and a binder that were both 15% off the original price. the original price of…

3. justin bought a calculator and a binder that were both 15% off the original price. the original price of the binder was $6.20. justin spent a total of $107.27. what was the original price of the calculator?

3. justin bought a calculator and a binder that were both 15% off the original price. the original price of the binder was $6.20. justin spent a total of $107.27. what was the original price of the calculator?

Answer

Explanation:

Step1: Calculate the discounted price of the binder

The discount rate is (15% = 0.15). The original price of the binder (b = 6.20). The price of the binder after discount is (b_{discounted}=b(1 - 0.15)). [b_{discounted}=6.20\times(1 - 0.15)=6.20\times0.85 = 5.27]

Step2: Let the original price of the calculator be (x).

The price of the calculator after a (15%) discount is (x(1 - 0.15)=0.85x). The total amount spent is the sum of the discounted - price of the binder and the discounted - price of the calculator. So, (0.85x+5.27 = 107.27)

Step3: Solve the equation for (x)

Subtract (5.27) from both sides of the equation: [0.85x+5.27-5.27=107.27 - 5.27] [0.85x=102] Divide both sides by (0.85): [x=\frac{102}{0.85}=\frac{102\times100}{0.85\times100}=\frac{10200}{85}=120]

Answer:

The original price of the calculator was ($120)