You wish to buy a new maths textbook and contact six different bookshops to get quotes. The average price for the textbook from all six shops is R435.00. The first two shops quote R415.00 each, while the third, fourth, and fifth shops quote R514.00, R425.00, and R460.00, respectively. What price did the sixth shop charge for the new maths textbook?

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UpStudy AI · Accepted Answer

Let's denote the price charged by the sixth shop as $$ x $$.

Given that the average price for the textbook from all six shops is R435.00, we can set up the following equation:

$$ \frac{415 + 415 + 514 + 425 + 460 + x}{6} = 435 $$

Now, we can solve this equation to find the price charged by the sixth shop.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{415+415+514+425+460+x}{6}=435$$
- step1: Add the numbers:
  $$\frac{2229+x}{6}=435$$
- step2: Cross multiply:
  $$2229+x=6\times 435$$
- step3: Simplify the equation:
  $$2229+x=2610$$
- step4: Move the constant to the right side:
  $$x=2610-2229$$
- step5: Subtract the numbers:
  $$x=381$$
The price charged by the sixth shop for the new maths textbook is R381.00.
The sixth shop charged R381.00 for the new maths textbook.

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