The golf club runs a competition. The total prize money is shared in the ratio 1st prize:2nd prize = 9: 5.
The 1st prize is $500 more than the 2nd prize.
Calculate the total prize money for the competition.

The total prize money for the competition is $1750

Step-by-step explanation:

Let us solve the question

→ The golf club runs a competition

∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5

∵ The 1st prize is $500 more than the 2nd prize

∴ The difference between the 1st prize and the second prize = $500

→ Find the difference between the terms of the ratio

∴ The difference in the terms of the ratio = 9 - 5 = 4

→ By using the ratio method

→  1st   :   2nd   :   difference

→  9     :   5       :   4

→  x     :   y        :   500

→ By using the cross multiplication

∵ x × 4 = 9 × 500

∴ 4x = 4500

→ Divide both sides by 4 to find x

∴ x = 1125

∴ The 1st prize is $1125

∵ y × 4 = 5 × 500

∴ 4y = 2500

→ Divide both sides by 4

∴ y = 625

∴ The 2nd prize is $625

∵ The total prize = 1st prize + 2nd prize

∴ The total prize = 1125 + 625

∴ The total prize = 1750

∴ The total prize money for the competition is $1750

a.)the line for function b is steeper