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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.

User Jon Story
by
8.2k points

1 Answer

3 votes

Answer:

The total prize money for the competition is $1750

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

User Ravi Vaghela
by
8.5k points

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