Answer:
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
