Question

Alyssa, Baron and Phil won in a group dance contest. They shared the cash prize
the ratio 3:2:4 respectively. If Alyssa received Php 2,700, how much was the total
amount of the cash prize?​

Answer 1

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★Php 8100

Step-by-step explanation:

★Let the ratio be 3x : 2x : 4x

★Therefore total cash prize =

$= >2x + 3x + 4x$

$= > 9x_____eq(1)$

★Now

• Alyssa's share 3x = 2,700
• x = 900 ______eq(2)

★Substituting "x" from eq(2) in eq(1)

★Therefore

$9x = 9 \times 900$

$= > 8100$

★Hence the total amount of the cash prize Is 8100

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Answer 2

Let the ratio be 3x : 2x : 4x

★Therefore total cash prize == > 2x + 3x + 4x=>2x+3x+4x

=>9x_____eq(1)

★Now

Alyssa's share

• 3x = 2,700

• x = 900 ______eq(2)

★Substituting "x" from eq(2) in eq(1)

★Therefore

9x =9×900

=> 8100

★Hence the total amount of the cash prize Is 8100.