When Sean joined a sales company he was offered a choice of two different salary contracts - Leaving Cert Mathematics - Question 1 - 2018

To find Mary's total sales, we need to calculate as follows:

1. Given that Mary earned €50,000 in total from Contract A, the relationship can be expressed as:

   $$ext{Total Earnings} = ext{Salary} + ext{Commission}$$

2. Salary from Contract A: €35,000; hence,

   $$50,000 = 35,000 + 0.02x$$

   where x is the total sales.

3. Rearranging gives:

   $$50,000 - 35,000 = 0.02x$$ $$15,000 = 0.02x$$

4. Solving for x:

   x = rac{15,000}{0.02} = 750,000

Therefore, Mary's total sales for that year were €750,000.

To find the total sales (x) where both contracts yield the same income:

1. For Contract A:

   $$ext{Total Income} = 35,000 + 0.02x$$

2. For Contract B:

   $$ext{Total Income} = 30,000 + 0.03x$$

3. Set the two equations equal to each other:

   $$35,000 + 0.02x = 30,000 + 0.03x$$

4. Rearranging gives:

   $$5,000 = 0.01x$$

5. Solving for x:

   x = rac{5,000}{0.01} = 500,000

So, a salesperson would earn the same amount under each contract when their total sales are €500,000.