6. latrice is buying her college textbooks. at the bookstore, she finds her math book for $82.99 and her…

6. latrice is buying her college textbooks. at the bookstore, she finds her math book for $82.99 and her history book for $112.89. sales tax is 7.5%. online she finds the math book for $90.20 and the history book for $118. shipping is a flat rate of $20, or free if you spend at least $125. no sales tax is charged. where should she purchase each textbook to get the least possible price?

6. latrice is buying her college textbooks. at the bookstore, she finds her math book for $82.99 and her history book for $112.89. sales tax is 7.5%. online she finds the math book for $90.20 and the history book for $118. shipping is a flat rate of $20, or free if you spend at least $125. no sales tax is charged. where should she purchase each textbook to get the least possible price?

Answer

Explanation:

Step1: Calculate bookstore math book cost with tax

$$82.99 \times (1 + 0.075) = 82.99 \times 1.075 \approx 89.21$$

Step2: Calculate bookstore history book cost with tax

$$112.89 \times (1 + 0.075) = 112.89 \times 1.075 \approx 121.36$$

Step3: Determine online math book cost

Since $$90.20 < $125$, shipping is $$20$. Total: $90.20 + 20.00 = 110.20$.

Step4: Determine online history book cost

Since $$118 < $125$, shipping is $$20$. Total: $118.00 + 20.00 = 138.00$.

Step5: Determine online combined cost

Total: $90.20 + 118.00 = 208.20$. Since $208.20 > 125$, shipping is free.

Step6: Compare all purchasing scenarios

Individual bookstore total: $89.21 + 121.36 = 210.57$. Combined online total: $208.20$.

Step7: Compare individual vs combined online

Math book: Bookstore ($89.21) vs Online alone ($110.20). History book: Bookstore ($121.36) vs Online alone ($138.00).

Answer:

Latrice should purchase both textbooks online together to get the least possible price of $208.20.